249083460 has 36 divisors (see below), whose sum is σ = 755553708. Its totient is φ = 66422208.

The previous prime is 249083459. The next prime is 249083479. The reversal of 249083460 is 64380942.

It is a happy number.

249083460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29095236 + 219988224 = 5394^2 + 14832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691719 + ... + 692078.

It is an arithmetic number, because the mean of its divisors is an integer number (20987603).

Almost surely, 2^249083460 is an apocalyptic number.

249083460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249083460 is an abundant number, since it is smaller than the sum of its proper divisors (506470248).

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

249083460 is a wasteful number, since it uses less digits than its factorization.

249083460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383812 (or 1383807 counting only the distinct ones).

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

The square root of 249083460 is about 15782.3781477951. The cubic root of 249083460 is about 629.1897368751.

The spelling of 249083460 in words is "two hundred forty-nine million, eighty-three thousand, four hundred sixty".