249630864 has 40 divisors (see below), whose sum is σ = 737006400. Its totient is φ = 71323008.

The previous prime is 249630863. The next prime is 249630877. The reversal of 249630864 is 468036942.

It is a happy number.

It is a super-2 number, since 2×249630864² = 124631136522772992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (249630863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371139 + ... + 371810.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 2^249630864 is an apocalyptic number.

249630864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249630864 is an abundant number, since it is smaller than the sum of its proper divisors (487375536).

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

249630864 is a wasteful number, since it uses less digits than its factorization.

249630864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742967 (or 742961 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 249630864 is about 15799.7108834307. The cubic root of 249630864 is about 629.6503174078.

The spelling of 249630864 in words is "two hundred forty-nine million, six hundred thirty thousand, eight hundred sixty-four".