1253858904 has 96 divisors (see below), whose sum is σ = 3503875440. Its totient is φ = 404870400.

The previous prime is 1253858873. The next prime is 1253858911. The reversal of 1253858904 is 4098583521.

1253858904 is a `hidden beast` number, since 12 + 53 + 8 + 589 + 0 + 4 = 666.

It is a super-2 number, since 2×1253858904² = 3144324302280162432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1253858904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292134 + ... + 296394.

Almost surely, 2^1253858904 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 1253858904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751937720).

1253858904 is an abundant number, since it is smaller than the sum of its proper divisors (2250016536).

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

1253858904 is a wasteful number, since it uses less digits than its factorization.

1253858904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1253858904 is about 35409.8701494371. The cubic root of 1253858904 is about 1078.3247071611.

The spelling of 1253858904 in words is "one billion, two hundred fifty-three million, eight hundred fifty-eight thousand, nine hundred four".