253202040 has 384 divisors, whose sum is σ = 1037836800. Its totient is φ = 52116480.

The previous prime is 253202039. The next prime is 253202057. The reversal of 253202040 is 40202352.

It is a super-2 number, since 2×253202040² = 128222546120323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1932775 + ... + 1932905.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^253202040 is an apocalyptic number.

253202040 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 253202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

253202040 is an abundant number, since it is smaller than the sum of its proper divisors (784634760).

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

253202040 is a wasteful number, since it uses less digits than its factorization.

253202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 253202040 is about 15912.3235261228. The cubic root of 253202040 is about 632.6386683210.

Adding to 253202040 its reverse (40202352), we get a palindrome (293404392).

The spelling of 253202040 in words is "two hundred fifty-three million, two hundred two thousand, forty".