480879936 has 224 divisors, whose sum is σ = 1498152960. Its totient is φ = 151027200.

The previous prime is 480879907. The next prime is 480879937. The reversal of 480879936 is 639978084.

480879936 is a `hidden beast` number, since 480 + 8 + 79 + 93 + 6 = 666.

It is a super-3 number, since 3×480879936³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480879937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517601 + ... + 2517791.

Almost surely, 2^480879936 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 480879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749076480).

480879936 is an abundant number, since it is smaller than the sum of its proper divisors (1017273024).

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

480879936 is a wasteful number, since it uses less digits than its factorization.

480879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 480879936 is about 21928.9748050382. The cubic root of 480879936 is about 783.4516851909.

The spelling of 480879936 in words is "four hundred eighty million, eight hundred seventy-nine thousand, nine hundred thirty-six".