249517664 has 24 divisors (see below), whose sum is σ = 535896648. Its totient is φ = 113416960.

The previous prime is 249517657. The next prime is 249517679. The reversal of 249517664 is 466715942.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 354077 + ... + 354780.

It is an arithmetic number, because the mean of its divisors is an integer number (22329027).

Almost surely, 2^249517664 is an apocalyptic number.

It is an amenable number.

249517664 is an abundant number, since it is smaller than the sum of its proper divisors (286378984).

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

249517664 is a wasteful number, since it uses less digits than its factorization.

249517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708878 (or 708870 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 249517664 is about 15796.1281331850. The cubic root of 249517664 is about 629.5551272653. Note that the first 3 decimals are identical.

The spelling of 249517664 in words is "two hundred forty-nine million, five hundred seventeen thousand, six hundred sixty-four".