331416900 has 144 divisors (see below), whose sum is σ = 1074722880. Its totient is φ = 87609600.

The previous prime is 331416863. The next prime is 331416937. The reversal of 331416900 is 9614133.

331416900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331416863) and next prime (331416937).

It is a super-2 number, since 2×331416900² = 219674323211220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353232 + ... + 354168.

Almost surely, 2^331416900 is an apocalyptic number.

331416900 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 331416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537361440).

331416900 is an abundant number, since it is smaller than the sum of its proper divisors (743305980).

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

331416900 is a wasteful number, since it uses less digits than its factorization.

331416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 331416900 is about 18204.8592414223. The cubic root of 331416900 is about 692.0299390078.

The spelling of 331416900 in words is "three hundred thirty-one million, four hundred sixteen thousand, nine hundred".