485132400 has 180 divisors, whose sum is σ = 1782801072. Its totient is φ = 121743360.

The previous prime is 485132381. The next prime is 485132411. The reversal of 485132400 is 4231584.

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

It is a congruent number.

It is an unprimeable number.

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, 57237 + ... + 65163.

Almost surely, 2^485132400 is an apocalyptic number.

485132400 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 485132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891400536).

485132400 is an abundant number, since it is smaller than the sum of its proper divisors (1297668672).

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

485132400 is a wasteful number, since it uses less digits than its factorization.

485132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 485132400 is about 22025.7213275752. The cubic root of 485132400 is about 785.7542887150.

Adding to 485132400 its reverse (4231584), we get a palindrome (489363984).

The spelling of 485132400 in words is "four hundred eighty-five million, one hundred thirty-two thousand, four hundred".