249468856 has 128 divisors (see below), whose sum is σ = 615444480. Its totient is φ = 92100096.

The previous prime is 249468853. The next prime is 249468881. The reversal of 249468856 is 658864942.

It is a super-2 number, since 2×249468856² = 124469420227897472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249468853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786810 + ... + 787126.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2^249468856 is an apocalyptic number.

249468856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249468856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307722240).

249468856 is an abundant number, since it is smaller than the sum of its proper divisors (365975624).

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

249468856 is a wasteful number, since it uses less digits than its factorization.

249468856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 249468856 is about 15794.5831220707. The cubic root of 249468856 is about 629.5140756221.

The spelling of 249468856 in words is "two hundred forty-nine million, four hundred sixty-eight thousand, eight hundred fifty-six".