253208880 has 240 divisors, whose sum is σ = 912959424. Its totient is φ = 62668800.

The previous prime is 253208867. The next prime is 253208887. The reversal of 253208880 is 88802352.

253208880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×253208880² = 128229473821708800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253208887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676805 + ... + 1676955.

Almost surely, 2^253208880 is an apocalyptic number.

253208880 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 253208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456479712).

253208880 is an abundant number, since it is smaller than the sum of its proper divisors (659750544).

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

253208880 is a wasteful number, since it uses less digits than its factorization.

253208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 253208880 is about 15912.5384524280. The cubic root of 253208880 is about 632.6443649701.

The spelling of 253208880 in words is "two hundred fifty-three million, two hundred eight thousand, eight hundred eighty".