213970464 has 48 divisors (see below), whose sum is σ = 624083040. Its totient is φ = 71323200.

The previous prime is 213970459. The next prime is 213970481. The reversal of 213970464 is 464079312.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122962 + ... + 124689.

It is an arithmetic number, because the mean of its divisors is an integer number (13001730).

Almost surely, 2^213970464 is an apocalyptic number.

213970464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213970464 is an abundant number, since it is smaller than the sum of its proper divisors (410112576).

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

213970464 is a wasteful number, since it uses less digits than its factorization.

213970464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247670 (or 247656 counting only the distinct ones).

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

The square root of 213970464 is about 14627.7292837952. The cubic root of 213970464 is about 598.1148834287.

The spelling of 213970464 in words is "two hundred thirteen million, nine hundred seventy thousand, four hundred sixty-four".