485204160 has 224 divisors, whose sum is σ = 1780227072. Its totient is φ = 109670400.

The previous prime is 485204129. The next prime is 485204173. The reversal of 485204160 is 61402584.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 691810 + ... + 692510.

Almost surely, 2^485204160 is an apocalyptic number.

485204160 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 485204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890113536).

485204160 is an abundant number, since it is smaller than the sum of its proper divisors (1295022912).

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

485204160 is a wasteful number, since it uses less digits than its factorization.

485204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 485204160 is about 22027.3502718779. The cubic root of 485204160 is about 785.7930293061.

The spelling of 485204160 in words is "four hundred eighty-five million, two hundred four thousand, one hundred sixty".