479405952 has 96 divisors (see below), whose sum is σ = 1430727480. Its totient is φ = 159791616.

The previous prime is 479405947. The next prime is 479405957. The reversal of 479405952 is 259504974.

It is an interprime number because it is at equal distance from previous prime (479405947) and next prime (479405957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 479405898 and 479405907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479405957) 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, 23398 + ... + 38810.

Almost surely, 2^479405952 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 479405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715363740).

479405952 is an abundant number, since it is smaller than the sum of its proper divisors (951321528).

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

479405952 is an equidigital number, since it uses as much as digits as its factorization.

479405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 479405952 is about 21895.3408742591. The cubic root of 479405952 is about 782.6503922132.

The spelling of 479405952 in words is "four hundred seventy-nine million, four hundred five thousand, nine hundred fifty-two".