396029920 has 192 divisors, whose sum is σ = 1158312960. Its totient is φ = 125798400.

The previous prime is 396029903. The next prime is 396029927. The reversal of 396029920 is 29920693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396029927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434265 + ... + 435175.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^396029920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

396029920 is an abundant number, since it is smaller than the sum of its proper divisors (762283040).

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

396029920 is a wasteful number, since it uses less digits than its factorization.

396029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 396029920 is about 19900.5004962187. The cubic root of 396029920 is about 734.3605402797.

The spelling of 396029920 in words is "three hundred ninety-six million, twenty-nine thousand, nine hundred twenty".