249957420 has 24 divisors (see below), whose sum is σ = 699880944. Its totient is φ = 66655296.

The previous prime is 249957419. The next prime is 249957431. The reversal of 249957420 is 24759942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2082919 + ... + 2083038.

It is an arithmetic number, because the mean of its divisors is an integer number (29161706).

Almost surely, 2^249957420 is an apocalyptic number.

249957420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249957420 is an abundant number, since it is smaller than the sum of its proper divisors (449923524).

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

249957420 is a wasteful number, since it uses less digits than its factorization.

249957420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165969 (or 4165967 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 249957420 is about 15810.0417456754. The cubic root of 249957420 is about 629.9247579579.

The spelling of 249957420 in words is "two hundred forty-nine million, nine hundred fifty-seven thousand, four hundred twenty".