478351400 has 48 divisors (see below), whose sum is σ = 1114884000. Its totient is φ = 190873280.

The previous prime is 478351397. The next prime is 478351417. The reversal of 478351400 is 4153874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85901 + ... + 91299.

It is an arithmetic number, because the mean of its divisors is an integer number (23226750).

Almost surely, 2^478351400 is an apocalyptic number.

478351400 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 478351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557442000).

478351400 is an abundant number, since it is smaller than the sum of its proper divisors (636532600).

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

478351400 is a wasteful number, since it uses less digits than its factorization.

478351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 478351400 is about 21871.2459635934. The cubic root of 478351400 is about 782.0761040787.

The spelling of 478351400 in words is "four hundred seventy-eight million, three hundred fifty-one thousand, four hundred".