249400656 has 30 divisors (see below), whose sum is σ = 697975850. Its totient is φ = 83133504.

The previous prime is 249400651. The next prime is 249400681. The reversal of 249400656 is 656004942.

249400656 is a `hidden beast` number, since 249 + 400 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177422400 + 71978256 = 13320^2 + 8484^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 249400656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249400651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 865831 + ... + 866118.

Almost surely, 2^249400656 is an apocalyptic number.

It is an amenable number.

249400656 is an abundant number, since it is smaller than the sum of its proper divisors (448575194).

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

249400656 is a wasteful number, since it uses less digits than its factorization.

249400656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731963 (or 1731954 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 249400656 is about 15792.4240064659. The cubic root of 249400656 is about 629.4567047027.

The spelling of 249400656 in words is "two hundred forty-nine million, four hundred thousand, six hundred fifty-six".