253762264 has 64 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 99961344.

The previous prime is 253762261. The next prime is 253762273. The reversal of 253762264 is 462267352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253762261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37837 + ... + 44035.

It is an arithmetic number, because the mean of its divisors is an integer number (9207000).

Almost surely, 2^253762264 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 253762264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

253762264 is an abundant number, since it is smaller than the sum of its proper divisors (335485736).

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

253762264 is a wasteful number, since it uses less digits than its factorization.

253762264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6268 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 253762264 is about 15929.9172628109. The cubic root of 253762264 is about 633.1049077124.

The spelling of 253762264 in words is "two hundred fifty-three million, seven hundred sixty-two thousand, two hundred sixty-four".