1252874736 has 80 divisors (see below), whose sum is σ = 3600439200. Its totient is φ = 417134592.

The previous prime is 1252874719. The next prime is 1252874737. The reversal of 1252874736 is 6374782521.

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

It is a junction number, because it is equal to n+sod(n) for n = 1252874691 and 1252874700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252874737) 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, 732250 + ... + 733958.

It is an arithmetic number, because the mean of its divisors is an integer number (45005490).

Almost surely, 2^1252874736 is an apocalyptic number.

1252874736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1252874736 is an abundant number, since it is smaller than the sum of its proper divisors (2347564464).

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

1252874736 is a wasteful number, since it uses less digits than its factorization.

1252874736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3411 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1252874736 is about 35395.9706181367. The cubic root of 1252874736 is about 1078.0425035705.

The spelling of 1252874736 in words is "one billion, two hundred fifty-two million, eight hundred seventy-four thousand, seven hundred thirty-six".