331466400 has 216 divisors, whose sum is σ = 1230858720. Its totient is φ = 83704320.

The previous prime is 331466371. The next prime is 331466423. The reversal of 331466400 is 4664133.

331466400 is a `hidden beast` number, since 3 + 3 + 14 + 6 + 640 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135589 + ... + 138011.

It is an arithmetic number, because the mean of its divisors is an integer number (5698420).

Almost surely, 2^331466400 is an apocalyptic number.

331466400 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 331466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615429360).

331466400 is an abundant number, since it is smaller than the sum of its proper divisors (899392320).

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

331466400 is a wasteful number, since it uses less digits than its factorization.

331466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 331466400 is about 18206.2187177898. The cubic root of 331466400 is about 692.0643908585.

The spelling of 331466400 in words is "three hundred thirty-one million, four hundred sixty-six thousand, four hundred".