249901520 has 40 divisors (see below), whose sum is σ = 633843360. Its totient is φ = 90872960.

The previous prime is 249901511. The next prime is 249901529. The reversal of 249901520 is 25109942.

249901520 is digitally balanced in base 2, 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 (249901511) and next prime (249901529).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×249901520³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249901529) 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, 141110 + ... + 142869.

It is an arithmetic number, because the mean of its divisors is an integer number (15846084).

Almost surely, 2^249901520 is an apocalyptic number.

249901520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249901520 is an abundant number, since it is smaller than the sum of its proper divisors (383941840).

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

249901520 is a wasteful number, since it uses less digits than its factorization.

249901520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284003 (or 283997 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 249901520 is about 15808.2737830542. The cubic root of 249901520 is about 629.8777960670.

The spelling of 249901520 in words is "two hundred forty-nine million, nine hundred one thousand, five hundred twenty".