249906720 has 96 divisors (see below), whose sum is σ = 899676288. Its totient is φ = 57120768.

The previous prime is 249906697. The next prime is 249906743. The reversal of 249906720 is 27609942.

249906720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249906697) and next prime (249906743).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×249906720³ (a number of 26 digits) contains 333 as substring.

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, 33829 + ... + 40548.

It is an arithmetic number, because the mean of its divisors is an integer number (9371628).

Almost surely, 2^249906720 is an apocalyptic number.

249906720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249906720 is an abundant number, since it is smaller than the sum of its proper divisors (649769568).

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

249906720 is a wasteful number, since it uses less digits than its factorization.

249906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74402 (or 74394 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 249906720 is about 15808.4382530344. The cubic root of 249906720 is about 629.8821649104.

The spelling of 249906720 in words is "two hundred forty-nine million, nine hundred six thousand, seven hundred twenty".