1252435644 has 72 divisors (see below), whose sum is σ = 3363665760. Its totient is φ = 392176512.

The previous prime is 1252435631. The next prime is 1252435663. The reversal of 1252435644 is 4465342521.

1252435644 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 4 + 3 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1252435599 and 1252435608.

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, 22417 + ... + 54839.

It is an arithmetic number, because the mean of its divisors is an integer number (46717580).

Almost surely, 2^1252435644 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 1252435644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681832880).

1252435644 is an abundant number, since it is smaller than the sum of its proper divisors (2111230116).

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

1252435644 is a wasteful number, since it uses less digits than its factorization.

1252435644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32499 (or 32494 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 1252435644 is about 35389.7675041812. The cubic root of 1252435644 is about 1077.9165491992.

The spelling of 1252435644 in words is "one billion, two hundred fifty-two million, four hundred thirty-five thousand, six hundred forty-four".