1253467264 has 64 divisors (see below), whose sum is σ = 2871308160. Its totient is φ = 533919744.

The previous prime is 1253467249. The next prime is 1253467339. The reversal of 1253467264 is 4627643521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145444 + ... + 153820.

It is an arithmetic number, because the mean of its divisors is an integer number (44864190).

Almost surely, 2^1253467264 is an apocalyptic number.

1253467264 is a gapful number since it is divisible by the number (14) 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 1253467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435654080).

1253467264 is an abundant number, since it is smaller than the sum of its proper divisors (1617840896).

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

1253467264 is an equidigital number, since it uses as much as digits as its factorization.

1253467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8553 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 1253467264 is about 35404.3396210126. The cubic root of 1253467264 is about 1078.2124247067.

The spelling of 1253467264 in words is "one billion, two hundred fifty-three million, four hundred sixty-seven thousand, two hundred sixty-four".