253792536 has 64 divisors (see below), whose sum is σ = 670264320. Its totient is φ = 79954560.

The previous prime is 253792523. The next prime is 253792559. The reversal of 253792536 is 635297352.

It is a super-4 number, since 4×253792536⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28026 + ... + 35958.

It is an arithmetic number, because the mean of its divisors is an integer number (10472880).

Almost surely, 2^253792536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253792536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335132160).

253792536 is an abundant number, since it is smaller than the sum of its proper divisors (416471784).

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

253792536 is a wasteful number, since it uses less digits than its factorization.

253792536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 8012 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 253792536 is about 15930.8673963473. The cubic root of 253792536 is about 633.1300816547.

The spelling of 253792536 in words is "two hundred fifty-three million, seven hundred ninety-two thousand, five hundred thirty-six".