249263664 has 80 divisors (see below), whose sum is σ = 706642272. Its totient is φ = 75239424.

The previous prime is 249263587. The next prime is 249263687. The reversal of 249263664 is 466362942.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29304 + ... + 36840.

Almost surely, 2^249263664 is an apocalyptic number.

249263664 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 249263664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353321136).

249263664 is an abundant number, since it is smaller than the sum of its proper divisors (457378608).

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

249263664 is a wasteful number, since it uses less digits than its factorization.

249263664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7608 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 249263664 is about 15788.0861411382. The cubic root of 249263664 is about 629.3414332522.

The spelling of 249263664 in words is "two hundred forty-nine million, two hundred sixty-three thousand, six hundred sixty-four".