485654400 has 768 divisors, whose sum is σ = 2246284800. Its totient is φ = 99532800.

The previous prime is 485654369. The next prime is 485654443. The reversal of 485654400 is 4456584.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652764 + ... + 6652836.

It is an arithmetic number, because the mean of its divisors is an integer number (2924850).

Almost surely, 2^485654400 is an apocalyptic number.

485654400 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 485654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123142400).

485654400 is an abundant number, since it is smaller than the sum of its proper divisors (1760630400).

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

485654400 is a wasteful number, since it uses less digits than its factorization.

485654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 485654400 is about 22037.5679238885. The cubic root of 485654400 is about 786.0360102376.

The spelling of 485654400 in words is "four hundred eighty-five million, six hundred fifty-four thousand, four hundred".