396395760 has 80 divisors (see below), whose sum is σ = 1268490240. Its totient is φ = 102293760.

The previous prime is 396395759. The next prime is 396395761. The reversal of 396395760 is 67593693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396395759) and next prime (396395761).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396395761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19200 + ... + 34079.

It is an arithmetic number, because the mean of its divisors is an integer number (15856128).

Almost surely, 2^396395760 is an apocalyptic number.

396395760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396395760 is an abundant number, since it is smaller than the sum of its proper divisors (872094480).

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

396395760 is a wasteful number, since it uses less digits than its factorization.

396395760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53326 (or 53320 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 396395760 is about 19909.6901030629. The cubic root of 396395760 is about 734.5865970857.

The spelling of 396395760 in words is "three hundred ninety-six million, three hundred ninety-five thousand, seven hundred sixty".