249495120 has 320 divisors, whose sum is σ = 1017792000. Its totient is φ = 54964224.

The previous prime is 249495101. The next prime is 249495121. The reversal of 249495120 is 21594942.

249495120 is a `hidden beast` number, since 2 + 49 + 495 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249495121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438196 + ... + 438764.

It is an arithmetic number, because the mean of its divisors is an integer number (3180600).

Almost surely, 2^249495120 is an apocalyptic number.

249495120 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 249495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

249495120 is an abundant number, since it is smaller than the sum of its proper divisors (768296880).

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

249495120 is a wasteful number, since it uses less digits than its factorization.

249495120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

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

The square root of 249495120 is about 15795.4145244751. The cubic root of 249495120 is about 629.5361665259.

The spelling of 249495120 in words is "two hundred forty-nine million, four hundred ninety-five thousand, one hundred twenty".