478674720 has 144 divisors (see below), whose sum is σ = 1686327552. Its totient is φ = 123517440.

The previous prime is 478674719. The next prime is 478674731. The reversal of 478674720 is 27476874.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39279 + ... + 50001.

It is an arithmetic number, because the mean of its divisors is an integer number (11710608).

Almost surely, 2^478674720 is an apocalyptic number.

478674720 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 478674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843163776).

478674720 is an abundant number, since it is smaller than the sum of its proper divisors (1207652832).

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

478674720 is a wasteful number, since it uses less digits than its factorization.

478674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10775 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 478674720 is about 21878.6361549343. The cubic root of 478674720 is about 782.2522673884.

The spelling of 478674720 in words is "four hundred seventy-eight million, six hundred seventy-four thousand, seven hundred twenty".