253443680 has 72 divisors (see below), whose sum is σ = 696539088. Its totient is φ = 86892288.

The previous prime is 253443661. The next prime is 253443691. The reversal of 253443680 is 86344352.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 253443680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8324 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (9674154).

Almost surely, 2^253443680 is an apocalyptic number.

253443680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253443680 is an abundant number, since it is smaller than the sum of its proper divisors (443095408).

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

253443680 is a wasteful number, since it uses less digits than its factorization.

253443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32356 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 253443680 is about 15919.9145726351. The cubic root of 253443680 is about 632.8398544351.

The spelling of 253443680 in words is "two hundred fifty-three million, four hundred forty-three thousand, six hundred eighty".