249404940 has 48 divisors (see below), whose sum is σ = 775928160. Its totient is φ = 66507840.

The previous prime is 249404929. The next prime is 249404989. The reversal of 249404940 is 49404942.

It is a happy number.

249404940 is a `hidden beast` number, since 249 + 404 + 9 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 249404895 and 249404904.

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, 230391 + ... + 231470.

It is an arithmetic number, because the mean of its divisors is an integer number (16165170).

Almost surely, 2^249404940 is an apocalyptic number.

249404940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249404940 is an abundant number, since it is smaller than the sum of its proper divisors (526523220).

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

249404940 is a wasteful number, since it uses less digits than its factorization.

249404940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461879 (or 461871 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 249404940 is about 15792.5596405396. The cubic root of 249404940 is about 629.4603087791.

The spelling of 249404940 in words is "two hundred forty-nine million, four hundred four thousand, nine hundred forty".