213562464 has 48 divisors (see below), whose sum is σ = 569807280. Its totient is φ = 70018560.

The previous prime is 213562463. The next prime is 213562469. The reversal of 213562464 is 464265312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213562463) by changing a digit.

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, 12379 + ... + 24090.

It is an arithmetic number, because the mean of its divisors is an integer number (11870985).

Almost surely, 2^213562464 is an apocalyptic number.

213562464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213562464 is an abundant number, since it is smaller than the sum of its proper divisors (356244816).

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

213562464 is a wasteful number, since it uses less digits than its factorization.

213562464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36543 (or 36535 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 213562464 is about 14613.7765139611. The cubic root of 213562464 is about 597.7344786774.

The spelling of 213562464 in words is "two hundred thirteen million, five hundred sixty-two thousand, four hundred sixty-four".