253970640 has 400 divisors, whose sum is σ = 1101893760. Its totient is φ = 52669440.

The previous prime is 253970597. The next prime is 253970659. The reversal of 253970640 is 46079352.

253970640 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 7 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253970595 and 253970604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498706 + ... + 499214.

Almost surely, 2^253970640 is an apocalyptic number.

253970640 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 253970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550946880).

253970640 is an abundant number, since it is smaller than the sum of its proper divisors (847923120).

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

253970640 is a wasteful number, since it uses less digits than its factorization.

253970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 253970640 is about 15936.4563187680. The cubic root of 253970640 is about 633.2781509323.

The spelling of 253970640 in words is "two hundred fifty-three million, nine hundred seventy thousand, six hundred forty".