253287864 has 64 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 83944800.

The previous prime is 253287857. The next prime is 253287869. The reversal of 253287864 is 468782352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253287869) 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, 35389 + ... + 41939.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^253287864 is an apocalyptic number.

253287864 is a gapful number since it is divisible by the number (24) 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 253287864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

253287864 is an abundant number, since it is smaller than the sum of its proper divisors (454328136).

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

253287864 is a wasteful number, since it uses less digits than its factorization.

253287864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6735 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 253287864 is about 15915.0200753879. The cubic root of 253287864 is about 632.7101388453.

The spelling of 253287864 in words is "two hundred fifty-three million, two hundred eighty-seven thousand, eight hundred sixty-four".