362997960 has 256 divisors, whose sum is σ = 1250242560. Its totient is φ = 83635200.

The previous prime is 362997949. The next prime is 362997961. The reversal of 362997960 is 69799263.

It is not an unprimeable number, because it can be changed into a prime (362997961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2403885 + ... + 2404035.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^362997960 is an apocalyptic number.

362997960 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 362997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625121280).

362997960 is an abundant number, since it is smaller than the sum of its proper divisors (887244600).

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

362997960 is a wasteful number, since it uses less digits than its factorization.

362997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 362997960 is about 19052.5053470666. The cubic root of 362997960 is about 713.3479126687.

The spelling of 362997960 in words is "three hundred sixty-two million, nine hundred ninety-seven thousand, nine hundred sixty".