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4494785400 = 23325272912301
BaseRepresentation
bin1000010111110100…
…01111101101111000
3102121020201202102100
410023322033231320
533201131113100
62022002503400
7216246021420
oct41372175570
912536652370
104494785400
1119a7209886
12a55364b60
1356829c141
14308d4d480
151b490d400
hex10be8fb78

4494785400 has 288 divisors, whose sum is σ = 17847741600. Its totient is φ = 991872000.

The previous prime is 4494785389. The next prime is 4494785413. The reversal of 4494785400 is 45874944.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359250 + ... + 371550.

It is an arithmetic number, because the mean of its divisors is an integer number (61971325).

Almost surely, 24494785400 is an apocalyptic number.

4494785400 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 4494785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923870800).

4494785400 is an abundant number, since it is smaller than the sum of its proper divisors (13352956200).

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

4494785400 is a wasteful number, since it uses less digits than its factorization.

4494785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4494785400 is about 67043.1607250136. The cubic root of 4494785400 is about 1650.3256657456.

The spelling of 4494785400 in words is "four billion, four hundred ninety-four million, seven hundred eighty-five thousand, four hundred".