249004314 has 128 divisors (see below), whose sum is σ = 623589120. Its totient is φ = 73156608.

The previous prime is 249004309. The next prime is 249004331. The reversal of 249004314 is 413400942.

249004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×249004314³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2203522 + ... + 2203634.

It is an arithmetic number, because the mean of its divisors is an integer number (4871790).

Almost surely, 2^249004314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311794560).

249004314 is an abundant number, since it is smaller than the sum of its proper divisors (374584806).

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

249004314 is a wasteful number, since it uses less digits than its factorization.

249004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 249004314 is about 15779.8705317883. The cubic root of 249004314 is about 629.1230883627.

The spelling of 249004314 in words is "two hundred forty-nine million, four thousand, three hundred fourteen".