396983520 has 144 divisors (see below), whose sum is σ = 1398563712. Its totient is φ = 102435840.

The previous prime is 396983513. The next prime is 396983539. The reversal of 396983520 is 25389693.

396983520 is a `hidden beast` number, since 39 + 6 + 98 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 40194 + ... + 49086.

It is an arithmetic number, because the mean of its divisors is an integer number (9712248).

Almost surely, 2^396983520 is an apocalyptic number.

396983520 is a gapful number since it is divisible by the number (30) 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 396983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699281856).

396983520 is an abundant number, since it is smaller than the sum of its proper divisors (1001580192).

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

396983520 is a wasteful number, since it uses less digits than its factorization.

396983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 396983520 is about 19924.4452871341. The cubic root of 396983520 is about 734.9494897956.

The spelling of 396983520 in words is "three hundred ninety-six million, nine hundred eighty-three thousand, five hundred twenty".