253470816 has 96 divisors (see below), whose sum is σ = 782822880. Its totient is φ = 79515648.

The previous prime is 253470803. The next prime is 253470851. The reversal of 253470816 is 618074352.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6060 + ... + 23316.

It is an arithmetic number, because the mean of its divisors is an integer number (8154405).

Almost surely, 2^253470816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253470816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391411440).

253470816 is an abundant number, since it is smaller than the sum of its proper divisors (529352064).

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

253470816 is a wasteful number, since it uses less digits than its factorization.

253470816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17279 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 253470816 is about 15920.7668157033. The cubic root of 253470816 is about 632.8624395046.

The spelling of 253470816 in words is "two hundred fifty-three million, four hundred seventy thousand, eight hundred sixteen".