253614816 has 144 divisors (see below), whose sum is σ = 887743584. Its totient is φ = 66880512.

The previous prime is 253614799. The next prime is 253614839. The reversal of 253614816 is 618416352.

It is a happy number.

253614816 is a `hidden beast` number, since 25 + 3 + 614 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21370 + ... + 31046.

It is an arithmetic number, because the mean of its divisors is an integer number (6164886).

Almost surely, 2^253614816 is an apocalyptic number.

253614816 is a gapful number since it is divisible by the number (26) 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 253614816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443871792).

253614816 is an abundant number, since it is smaller than the sum of its proper divisors (634128768).

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

253614816 is a wasteful number, since it uses less digits than its factorization.

253614816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9702 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 253614816 is about 15925.2885688141. The cubic root of 253614816 is about 632.9822625549.

The spelling of 253614816 in words is "two hundred fifty-three million, six hundred fourteen thousand, eight hundred sixteen".