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485888400 = 243252139971
BaseRepresentation
bin11100111101100…
…001000110010000
31020212021200120200
4130331201012100
51443341412100
6120114135200
715016661154
oct3475410620
91225250520
10485888400
1122a2a9168
12116881500
1379883c3a
1448761064
152c9cbe00
hex1cf61190

485888400 has 180 divisors, whose sum is σ = 1700047440. Its totient is φ = 128505600.

The previous prime is 485888399. The next prime is 485888401. The reversal of 485888400 is 4888584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (485888399) and next prime (485888401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (485888401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499915 + ... + 500885.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2485888400 is an apocalyptic number.

485888400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850023720).

485888400 is an abundant number, since it is smaller than the sum of its proper divisors (1214159040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

485888400 is a wasteful number, since it uses less digits than its factorization.

485888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 485888400 is about 22042.8764003249. The cubic root of 485888400 is about 786.1622336681.

The spelling of 485888400 in words is "four hundred eighty-five million, eight hundred eighty-eight thousand, four hundred".