212379264 has 192 divisors, whose sum is σ = 666182400. Its totient is φ = 64696320.

The previous prime is 212379257. The next prime is 212379281. The reversal of 212379264 is 462973212.

212379264 is a `hidden beast` number, since 21 + 2 + 379 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678372 + ... + 678684.

It is an arithmetic number, because the mean of its divisors is an integer number (3469700).

Almost surely, 2^212379264 is an apocalyptic number.

212379264 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 212379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333091200).

212379264 is an abundant number, since it is smaller than the sum of its proper divisors (453803136).

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

212379264 is a wasteful number, since it uses less digits than its factorization.

212379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 212379264 is about 14573.2379380836. The cubic root of 212379264 is about 596.6285577788.

The spelling of 212379264 in words is "two hundred twelve million, three hundred seventy-nine thousand, two hundred sixty-four".