396264960 has 720 divisors, whose sum is σ = 1782917136. Its totient is φ = 83607552.

The previous prime is 396264901. The next prime is 396264983. The reversal of 396264960 is 69462693.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 30481914 + ... + 30481926.

Almost surely, 2^396264960 is an apocalyptic number.

396264960 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 396264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891458568).

396264960 is an abundant number, since it is smaller than the sum of its proper divisors (1386652176).

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

396264960 is an equidigital number, since it uses as much as digits as its factorization.

396264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 396264960 is about 19906.4049993966. The cubic root of 396264960 is about 734.5057902196.

It can be divided in two parts, 396 and 264960, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 396264960 in words is "three hundred ninety-six million, two hundred sixty-four thousand, nine hundred sixty".