249267564 has 144 divisors (see below), whose sum is σ = 800163840. Its totient is φ = 65707200.

The previous prime is 249267539. The next prime is 249267607. The reversal of 249267564 is 465762942.

249267564 is a `hidden beast` number, since 24 + 9 + 2 + 67 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126789 + ... + 128739.

Almost surely, 2^249267564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249267564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400081920).

249267564 is an abundant number, since it is smaller than the sum of its proper divisors (550896276).

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

249267564 is a wasteful number, since it uses less digits than its factorization.

249267564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1976 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 249267564 is about 15788.2096515089. The cubic root of 249267564 is about 629.3447154779.

The spelling of 249267564 in words is "two hundred forty-nine million, two hundred sixty-seven thousand, five hundred sixty-four".