253277280 has 120 divisors (see below), whose sum is σ = 893903472. Its totient is φ = 67537152.

The previous prime is 253277279. The next prime is 253277281. The reversal of 253277280 is 82772352.

It is a happy number.

253277280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253277279) and next prime (253277281).

It is a tau number, because it is divible by the number of its divisors (120).

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 (253277281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3189 + ... + 22731.

Almost surely, 2^253277280 is an apocalyptic number.

253277280 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 253277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446951736).

253277280 is an abundant number, since it is smaller than the sum of its proper divisors (640626192).

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

253277280 is a wasteful number, since it uses less digits than its factorization.

253277280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19553 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 253277280 is about 15914.6875558397. The cubic root of 253277280 is about 632.7013258196.

The spelling of 253277280 in words is "two hundred fifty-three million, two hundred seventy-seven thousand, two hundred eighty".