396952920 has 384 divisors, whose sum is σ = 1660478400. Its totient is φ = 83607552.

The previous prime is 396952889. The next prime is 396952931. The reversal of 396952920 is 29259693.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687672 + ... + 688248.

Almost surely, 2^396952920 is an apocalyptic number.

396952920 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 396952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830239200).

396952920 is an abundant number, since it is smaller than the sum of its proper divisors (1263525480).

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

396952920 is a wasteful number, since it uses less digits than its factorization.

396952920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 396952920 is about 19923.6773714091. The cubic root of 396952920 is about 734.9306056933.

The spelling of 396952920 in words is "three hundred ninety-six million, nine hundred fifty-two thousand, nine hundred twenty".