249505872 has 360 divisors, whose sum is σ = 904817088. Its totient is φ = 57784320.

The previous prime is 249505871. The next prime is 249505877. The reversal of 249505872 is 278505942.

249505872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249505871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13131879 + ... + 13131897.

Almost surely, 2^249505872 is an apocalyptic number.

249505872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452408544).

249505872 is an abundant number, since it is smaller than the sum of its proper divisors (655311216).

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

249505872 is a wasteful number, since it uses less digits than its factorization.

249505872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 249505872 is about 15795.7548727498. The cubic root of 249505872 is about 629.5452096896.

The spelling of 249505872 in words is "two hundred forty-nine million, five hundred five thousand, eight hundred seventy-two".