213457040 has 20 divisors (see below), whose sum is σ = 496287804. Its totient is φ = 85382784.

The previous prime is 213457003. The next prime is 213457061. The reversal of 213457040 is 40754312.

It can be written as a sum of positive squares in 2 ways, for example, as 48385936 + 165071104 = 6956^2 + 12848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1334027 + ... + 1334186.

Almost surely, 2^213457040 is an apocalyptic number.

213457040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213457040 is an abundant number, since it is smaller than the sum of its proper divisors (282830764).

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

213457040 is a wasteful number, since it uses less digits than its factorization.

213457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668226 (or 2668220 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 213457040 is about 14610.1690613079. The cubic root of 213457040 is about 597.6361063161.

The spelling of 213457040 in words is "two hundred thirteen million, four hundred fifty-seven thousand, forty".