253280664 has 384 divisors, whose sum is σ = 922521600. Its totient is φ = 60963840.

The previous prime is 253280653. The next prime is 253280683. The reversal of 253280664 is 466082352.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 5890227 + ... + 5890269.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^253280664 is an apocalyptic number.

253280664 is a gapful number since it is divisible by the number (24) 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 253280664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800).

253280664 is an abundant number, since it is smaller than the sum of its proper divisors (669240936).

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

253280664 is a wasteful number, since it uses less digits than its factorization.

253280664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 253280664 is about 15914.7938723692. The cubic root of 253280664 is about 632.7041436164.

The spelling of 253280664 in words is "two hundred fifty-three million, two hundred eighty thousand, six hundred sixty-four".