214870464 has 84 divisors (see below), whose sum is σ = 629070624. Its totient is φ = 70090752.

The previous prime is 214870459. The next prime is 214870477. The reversal of 214870464 is 464078412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23104 + ... + 31040.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2^214870464 is an apocalyptic number.

214870464 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 214870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314535312).

214870464 is an abundant number, since it is smaller than the sum of its proper divisors (414200160).

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

214870464 is a wasteful number, since it uses less digits than its factorization.

214870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 214870464 is about 14658.4604921526. The cubic root of 214870464 is about 598.9523049567.

The spelling of 214870464 in words is "two hundred fourteen million, eight hundred seventy thousand, four hundred sixty-four".