214532496 has 160 divisors (see below), whose sum is σ = 660672000. Its totient is φ = 66448512.

The previous prime is 214532491. The next prime is 214532509. The reversal of 214532496 is 694235412.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214532496.

It is not an unprimeable number, because it can be changed into a prime (214532491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484051 + ... + 484493.

It is an arithmetic number, because the mean of its divisors is an integer number (4129200).

Almost surely, 2^214532496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214532496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330336000).

214532496 is an abundant number, since it is smaller than the sum of its proper divisors (446139504).

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

214532496 is a wasteful number, since it uses less digits than its factorization.

214532496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 214532496 is about 14646.9278690106. The cubic root of 214532496 is about 598.6381111032.

The spelling of 214532496 in words is "two hundred fourteen million, five hundred thirty-two thousand, four hundred ninety-six".