212926464 has 153 divisors (see below), whose sum is σ = 649194663. Its totient is φ = 67239936.

The previous prime is 212926393. The next prime is 212926477. The reversal of 212926464 is 464629212.

The square root of 212926464 is 14592.

It is a perfect power (a square), and thus also a powerful number.

212926464 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 2 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11206647 + ... + 11206665.

Almost surely, 2^212926464 is an apocalyptic number.

212926464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

212926464 is the 14592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212926464

212926464 is an abundant number, since it is smaller than the sum of its proper divisors (436268199).

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

212926464 is an frugal number, since it uses more digits than its factorization.

212926464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 212926464 is about 597.1405273423.

Multiplying 212926464 by its sum of digits (36), we get a square (7665352704 = 87552²).

212926464 divided by its sum of digits (36) gives a square (5914624 = 2432²).

The spelling of 212926464 in words is "two hundred twelve million, nine hundred twenty-six thousand, four hundred sixty-four".