478268400 has 60 divisors (see below), whose sum is σ = 1532056952. Its totient is φ = 127537920.

The previous prime is 478268387. The next prime is 478268407. The reversal of 478268400 is 4862874.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478268407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198079 + ... + 200478.

Almost surely, 2^478268400 is an apocalyptic number.

478268400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478268400 is an abundant number, since it is smaller than the sum of its proper divisors (1053788552).

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

478268400 is a wasteful number, since it uses less digits than its factorization.

478268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398578 (or 398567 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 478268400 is about 21869.3484127900. The cubic root of 478268400 is about 782.0308681069.

The spelling of 478268400 in words is "four hundred seventy-eight million, two hundred sixty-eight thousand, four hundred".