1253412864 has 234 divisors, whose sum is σ = 3993751398. Its totient is φ = 378470400.

The previous prime is 1253412827. The next prime is 1253412877. The reversal of 1253412864 is 4682143521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1141899264 + 111513600 = 33792^2 + 10560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4460404 + ... + 4460684.

Almost surely, 2^1253412864 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 1253412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996875699).

1253412864 is an abundant number, since it is smaller than the sum of its proper divisors (2740338534).

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

1253412864 is a wasteful number, since it uses less digits than its factorization.

1253412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 297 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1253412864 is about 35403.5713452753. The cubic root of 1253412864 is about 1078.1968264787.

The spelling of 1253412864 in words is "one billion, two hundred fifty-three million, four hundred twelve thousand, eight hundred sixty-four".