249585942 has 64 divisors (see below), whose sum is σ = 556403904. Its totient is φ = 74280960.

The previous prime is 249585899. The next prime is 249585967.

249585942 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 249585891 and 249585900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153928 + ... + 155540.

It is an arithmetic number, because the mean of its divisors is an integer number (8693811).

Almost surely, 2^249585942 is an apocalyptic number.

249585942 is an abundant number, since it is smaller than the sum of its proper divisors (306817962).

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

249585942 is a wasteful number, since it uses less digits than its factorization.

249585942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713.

The product of its digits is 1036800, while the sum is 48.

The square root of 249585942 is about 15798.2892111773. The cubic root of 249585942 is about 629.6125458386.

The spelling of 249585942 in words is "two hundred forty-nine million, five hundred eighty-five thousand, nine hundred forty-two".