478202400 has 432 divisors, whose sum is σ = 1887066720. Its totient is φ = 116812800.

The previous prime is 478202369. The next prime is 478202419. The reversal of 478202400 is 4202874.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650335 + ... + 3650465.

It is an arithmetic number, because the mean of its divisors is an integer number (4368210).

Almost surely, 2^478202400 is an apocalyptic number.

478202400 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 478202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943533360).

478202400 is an abundant number, since it is smaller than the sum of its proper divisors (1408864320).

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

478202400 is a wasteful number, since it uses less digits than its factorization.

478202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 478202400 is about 21867.8393994469. The cubic root of 478202400 is about 781.9948935985.

The spelling of 478202400 in words is "four hundred seventy-eight million, two hundred two thousand, four hundred".