396387576 has 192 divisors, whose sum is σ = 1257984000. Its totient is φ = 111663360.

The previous prime is 396387571. The next prime is 396387581. The reversal of 396387576 is 675783693.

396387576 is a `hidden beast` number, since 3 + 9 + 63 + 8 + 7 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (396387571) and next prime (396387581).

It is a super-2 number, since 2×396387576² = 314246220814311552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396387571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550945 + ... + 551663.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^396387576 is an apocalyptic number.

396387576 is a gapful number since it is divisible by the number (36) 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 396387576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

396387576 is an abundant number, since it is smaller than the sum of its proper divisors (861596424).

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

396387576 is a wasteful number, since it uses less digits than its factorization.

396387576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 396387576 is about 19909.4845739411. The cubic root of 396387576 is about 734.5815416178.

The spelling of 396387576 in words is "three hundred ninety-six million, three hundred eighty-seven thousand, five hundred seventy-six".