396097920 has 96 divisors (see below), whose sum is σ = 1367795520. Its totient is φ = 105624576.

The previous prime is 396097817. The next prime is 396097939. The reversal of 396097920 is 29790693.

396097920 is a `hidden beast` number, since 39 + 609 + 7 + 9 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28624 + ... + 40143.

It is an arithmetic number, because the mean of its divisors is an integer number (14247870).

Almost surely, 2^396097920 is an apocalyptic number.

396097920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396097920 is an abundant number, since it is smaller than the sum of its proper divisors (971697600).

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

396097920 is a wasteful number, since it uses less digits than its factorization.

396097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68792 (or 68777 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 396097920 is about 19902.2089226297. The cubic root of 396097920 is about 734.4025688036.

Adding to 396097920 its product of nonzero digits (183708), we get a triangular number (396281628 = T₂₈₁₅₂).

The spelling of 396097920 in words is "three hundred ninety-six million, ninety-seven thousand, nine hundred twenty".