249807040 has 56 divisors (see below), whose sum is σ = 679838112. Its totient is φ = 85647360.

The previous prime is 249807023. The next prime is 249807043. The reversal of 249807040 is 40708942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 249806987 and 249807005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249807043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53521 + ... + 58000.

Almost surely, 2^249807040 is an apocalyptic number.

249807040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249807040 is an abundant number, since it is smaller than the sum of its proper divisors (430031072).

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

249807040 is a wasteful number, since it uses less digits than its factorization.

249807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111545 (or 111535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 249807040 is about 15805.2851919856. The cubic root of 249807040 is about 629.7984069867.

The spelling of 249807040 in words is "two hundred forty-nine million, eight hundred seven thousand, forty".