478982736 has 120 divisors (see below), whose sum is σ = 1407211520. Its totient is φ = 151891200.

The previous prime is 478982729. The next prime is 478982737. The reversal of 478982736 is 637289874.

It is a super-2 number, since 2×478982736² = 458848922772091392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478982737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271425 + ... + 273183.

Almost surely, 2^478982736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478982736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703605760).

478982736 is an abundant number, since it is smaller than the sum of its proper divisors (928228784).

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

478982736 is a wasteful number, since it uses less digits than its factorization.

478982736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1856 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 478982736 is about 21885.6742185385. The cubic root of 478982736 is about 782.4200184322.

The spelling of 478982736 in words is "four hundred seventy-eight million, nine hundred eighty-two thousand, seven hundred thirty-six".