249874560 has 384 divisors, whose sum is σ = 962357760. Its totient is φ = 59351040.

The previous prime is 249874501. The next prime is 249874561. The reversal of 249874560 is 65478942.

It is a happy number.

249874560 is a `hidden beast` number, since 2 + 4 + 9 + 87 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249874561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519325 + ... + 3519395.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^249874560 is an apocalyptic number.

249874560 is a gapful number since it is divisible by the number (20) 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 249874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

249874560 is an abundant number, since it is smaller than the sum of its proper divisors (712483200).

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

249874560 is a wasteful number, since it uses less digits than its factorization.

249874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 249874560 is about 15807.4210420296. The cubic root of 249874560 is about 629.8551443225.

The spelling of 249874560 in words is "two hundred forty-nine million, eight hundred seventy-four thousand, five hundred sixty".