478857600 has 288 divisors, whose sum is σ = 1841548800. Its totient is φ = 117780480.

The previous prime is 478857593. The next prime is 478857619. The reversal of 478857600 is 6758874.

478857600 is a `hidden beast` number, since 4 + 78 + 8 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373761 + ... + 375039.

Almost surely, 2^478857600 is an apocalyptic number.

478857600 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 478857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920774400).

478857600 is an abundant number, since it is smaller than the sum of its proper divisors (1362691200).

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

478857600 is a wasteful number, since it uses less digits than its factorization.

478857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 478857600 is about 21882.8151753836. The cubic root of 478857600 is about 782.3518757960.

The spelling of 478857600 in words is "four hundred seventy-eight million, eight hundred fifty-seven thousand, six hundred".