396732960 has 144 divisors (see below), whose sum is σ = 1458062424. Its totient is φ = 97652736.

The previous prime is 396732953. The next prime is 396732971. The reversal of 396732960 is 69237693.

It can be written as a sum of positive squares in 4 ways, for example, as 130782096 + 265950864 = 11436^2 + 16308^2 .

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

It is a super-3 number, since 3×396732960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 8124 + ... + 29316.

Almost surely, 2^396732960 is an apocalyptic number.

396732960 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 396732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729031212).

396732960 is an abundant number, since it is smaller than the sum of its proper divisors (1061329464).

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

396732960 is a wasteful number, since it uses less digits than its factorization.

396732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 396732960 is about 19918.1565412063. The cubic root of 396732960 is about 734.7948337533.

The spelling of 396732960 in words is "three hundred ninety-six million, seven hundred thirty-two thousand, nine hundred sixty".