333972960 has 48 divisors (see below), whose sum is σ = 1052016336. Its totient is φ = 89059328.

The previous prime is 333972953. The next prime is 333972967. The reversal of 333972960 is 69279333.

It is an interprime number because it is at equal distance from previous prime (333972953) and next prime (333972967).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×333972960² = 223075876022323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333972967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347409 + ... + 348368.

It is an arithmetic number, because the mean of its divisors is an integer number (21917007).

Almost surely, 2^333972960 is an apocalyptic number.

333972960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

333972960 is an abundant number, since it is smaller than the sum of its proper divisors (718043376).

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

333972960 is a wasteful number, since it uses less digits than its factorization.

333972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695795 (or 695787 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 333972960 is about 18274.9270860379. The cubic root of 333972960 is about 693.8044833438.

The spelling of 333972960 in words is "three hundred thirty-three million, nine hundred seventy-two thousand, nine hundred sixty".