253868940 has 288 divisors, whose sum is σ = 891596160. Its totient is φ = 57987072.

The previous prime is 253868933. The next prime is 253868959. The reversal of 253868940 is 49868352.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2852416 + ... + 2852504.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^253868940 is an apocalyptic number.

253868940 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 253868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

253868940 is an abundant number, since it is smaller than the sum of its proper divisors (637727220).

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

253868940 is a wasteful number, since it uses less digits than its factorization.

253868940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 253868940 is about 15933.2652020859. The cubic root of 253868940 is about 633.1936096817.

The spelling of 253868940 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, nine hundred forty".