396797952 has 192 divisors, whose sum is σ = 1167566400. Its totient is φ = 119275520.

The previous prime is 396797903. The next prime is 396797971. The reversal of 396797952 is 259797693.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×396797952² = 314897229422788608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396797892 and 396797901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3028927 + ... + 3029057.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2^396797952 is an apocalyptic number.

396797952 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 396797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583783200).

396797952 is an abundant number, since it is smaller than the sum of its proper divisors (770768448).

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

396797952 is a wasteful number, since it uses less digits than its factorization.

396797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 57.

The square root of 396797952 is about 19919.7879506786. The cubic root of 396797952 is about 734.8349557692.

The spelling of 396797952 in words is "three hundred ninety-six million, seven hundred ninety-seven thousand, nine hundred fifty-two".