213052464 has 40 divisors (see below), whose sum is σ = 611540720. Its totient is φ = 71017344.

The previous prime is 213052459. The next prime is 213052537. The reversal of 213052464 is 464250312.

213052464 is a `hidden beast` number, since 2 + 130 + 524 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 246157 + ... + 247020.

It is an arithmetic number, because the mean of its divisors is an integer number (15288518).

Almost surely, 2^213052464 is an apocalyptic number.

213052464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213052464 is an abundant number, since it is smaller than the sum of its proper divisors (398488256).

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

213052464 is a wasteful number, since it uses less digits than its factorization.

213052464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493194 (or 493182 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 213052464 is about 14596.3167956851. The cubic root of 213052464 is about 597.2582908005.

The spelling of 213052464 in words is "two hundred thirteen million, fifty-two thousand, four hundred sixty-four".