249512940 has 192 divisors, whose sum is σ = 829785600. Its totient is φ = 62062848.

The previous prime is 249512917. The next prime is 249512951. The reversal of 249512940 is 49215942.

249512940 is a `hidden beast` number, since 2 + 495 + 129 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 249512895 and 249512904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851434 + ... + 851726.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 2^249512940 is an apocalyptic number.

249512940 is a gapful number since it is divisible by the number (20) 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 249512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414892800).

249512940 is an abundant number, since it is smaller than the sum of its proper divisors (580272660).

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

249512940 is a wasteful number, since it uses less digits than its factorization.

249512940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 249512940 is about 15795.9786021633. The cubic root of 249512940 is about 629.5511542170.

The spelling of 249512940 in words is "two hundred forty-nine million, five hundred twelve thousand, nine hundred forty".