478118400 has 120 divisors (see below), whose sum is σ = 1579561104. Its totient is φ = 127488000.

The previous prime is 478118393. The next prime is 478118401. The reversal of 478118400 is 4811874.

478118400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (478118401) 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, 32175 + ... + 44625.

Almost surely, 2^478118400 is an apocalyptic number.

478118400 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 478118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789780552).

478118400 is an abundant number, since it is smaller than the sum of its proper divisors (1101442704).

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

478118400 is a wasteful number, since it uses less digits than its factorization.

478118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12482 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 478118400 is about 21865.9186863941. The cubic root of 478118400 is about 781.9491030730.

The spelling of 478118400 in words is "four hundred seventy-eight million, one hundred eighteen thousand, four hundred".