396029952 has 104 divisors (see below), whose sum is σ = 1173606480. Its totient is φ = 131973120.

The previous prime is 396029927. The next prime is 396029983. The reversal of 396029952 is 259920693.

396029952 is a `hidden beast` number, since 39 + 602 + 9 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×396029952² = 313679445762244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396029898 and 396029907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108802 + ... + 112382.

Almost surely, 2^396029952 is an apocalyptic number.

396029952 is a gapful number since it is divisible by the number (32) 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 396029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586803240).

396029952 is an abundant number, since it is smaller than the sum of its proper divisors (777576528).

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

396029952 is an equidigital number, since it uses as much as digits as its factorization.

396029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 396029952 is about 19900.5013002185. The cubic root of 396029952 is about 734.3605600589.

The spelling of 396029952 in words is "three hundred ninety-six million, twenty-nine thousand, nine hundred fifty-two".