396121320 has 256 divisors, whose sum is σ = 1523404800. Its totient is φ = 89683200.

The previous prime is 396121307. The next prime is 396121321. The reversal of 396121320 is 23121693.

396121320 is a `hidden beast` number, since 39 + 612 + 13 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (396121321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141387 + ... + 1141733.

It is an arithmetic number, because the mean of its divisors is an integer number (5950800).

Almost surely, 2^396121320 is an apocalyptic number.

396121320 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 396121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761702400).

396121320 is an abundant number, since it is smaller than the sum of its proper divisors (1127283480).

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

396121320 is a wasteful number, since it uses less digits than its factorization.

396121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 396121320 is about 19902.7967883913. The cubic root of 396121320 is about 734.4170304479.

It can be divided in two parts, 3961 and 21320, that added together give a square (25281 = 159²).

The spelling of 396121320 in words is "three hundred ninety-six million, one hundred twenty-one thousand, three hundred twenty".