253674960 has 480 divisors, whose sum is σ = 1044254592. Its totient is φ = 50319360.

The previous prime is 253674959. The next prime is 253674973. The reversal of 253674960 is 69476352.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4786294 + ... + 4786346.

Almost surely, 2^253674960 is an apocalyptic number.

253674960 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 253674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522127296).

253674960 is an abundant number, since it is smaller than the sum of its proper divisors (790579632).

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

253674960 is a wasteful number, since it uses less digits than its factorization.

253674960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 253674960 is about 15927.1767743062. The cubic root of 253674960 is about 633.0322952209.

The spelling of 253674960 in words is "two hundred fifty-three million, six hundred seventy-four thousand, nine hundred sixty".