249004896 has 96 divisors (see below), whose sum is σ = 771176448. Its totient is φ = 68843520.

The previous prime is 249004883. The next prime is 249004901. The reversal of 249004896 is 698400942.

249004896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 14856 + ... + 26808.

It is an arithmetic number, because the mean of its divisors is an integer number (8033088).

Almost surely, 2^249004896 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 249004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385588224).

249004896 is an abundant number, since it is smaller than the sum of its proper divisors (522171552).

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

249004896 is a wasteful number, since it uses less digits than its factorization.

249004896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12004 (or 11996 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 249004896 is about 15779.8889729934. Note that the first 3 decimals coincide. The cubic root of 249004896 is about 629.1235785139.

The spelling of 249004896 in words is "two hundred forty-nine million, four thousand, eight hundred ninety-six".