253864700 has 72 divisors (see below), whose sum is σ = 591055920. Its totient is φ = 94348800.

The previous prime is 253864697. The next prime is 253864703. The reversal of 253864700 is 7468352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253864697) and next prime (253864703).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253864703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99440 + ... + 101960.

It is an arithmetic number, because the mean of its divisors is an integer number (8209110).

Almost surely, 2^253864700 is an apocalyptic number.

253864700 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 253864700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295527960).

253864700 is an abundant number, since it is smaller than the sum of its proper divisors (337191220).

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

253864700 is a wasteful number, since it uses less digits than its factorization.

253864700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 253864700 is about 15933.1321465680. The cubic root of 253864700 is about 633.1900845612.

The spelling of 253864700 in words is "two hundred fifty-three million, eight hundred sixty-four thousand, seven hundred".