214983264 has 192 divisors, whose sum is σ = 627056640. Its totient is φ = 64296960.

The previous prime is 214983259. The next prime is 214983281. The reversal of 214983264 is 462389412.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4056262 + ... + 4056314.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^214983264 is an apocalyptic number.

214983264 is a gapful number since it is divisible by the number (24) 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 214983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

214983264 is an abundant number, since it is smaller than the sum of its proper divisors (412073376).

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

214983264 is a wasteful number, since it uses less digits than its factorization.

214983264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 214983264 is about 14662.3075946455. The cubic root of 214983264 is about 599.0570967765.

The spelling of 214983264 in words is "two hundred fourteen million, nine hundred eighty-three thousand, two hundred sixty-four".