479701376 has 192 divisors, whose sum is σ = 1287219600. Its totient is φ = 175472640.

The previous prime is 479701373. The next prime is 479701381. The reversal of 479701376 is 673107974.

It is a super-2 number, since 2×479701376² = 460226820272586752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479701373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172660 + ... + 1173068.

Almost surely, 2^479701376 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 479701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643609800).

479701376 is an abundant number, since it is smaller than the sum of its proper divisors (807518224).

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

479701376 is a wasteful number, since it uses less digits than its factorization.

479701376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 479701376 is about 21902.0861106882. The cubic root of 479701376 is about 782.8111232396.

The spelling of 479701376 in words is "four hundred seventy-nine million, seven hundred one thousand, three hundred seventy-six".