249999264 has 192 divisors, whose sum is σ = 780393600. Its totient is φ = 77635584.

The previous prime is 249999223. The next prime is 249999271. The reversal of 249999264 is 462999942.

249999264 is a `hidden beast` number, since 2 + 499 + 9 + 92 + 64 = 666.

249999264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 249999264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592274 + ... + 1592430.

It is an arithmetic number, because the mean of its divisors is an integer number (4064550).

Almost surely, 2^249999264 is an apocalyptic number.

249999264 is a gapful number since it is divisible by the number (24) 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 249999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390196800).

249999264 is an abundant number, since it is smaller than the sum of its proper divisors (530394336).

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

249999264 is a wasteful number, since it uses less digits than its factorization.

249999264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 249999264 is about 15811.3650264612. The cubic root of 249999264 is about 629.9599067456.

The spelling of 249999264 in words is "two hundred forty-nine million, nine hundred ninety-nine thousand, two hundred sixty-four".