1252578924 has 48 divisors (see below), whose sum is σ = 3261081600. Its totient is φ = 415770768.

The previous prime is 1252578913. The next prime is 1252578937. The reversal of 1252578924 is 4298752521.

1252578924 is a `hidden beast` number, since 1 + 2 + 52 + 578 + 9 + 24 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 1252578924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (67939200).

Almost surely, 2^1252578924 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 1252578924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630540800).

1252578924 is an abundant number, since it is smaller than the sum of its proper divisors (2008502676).

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

1252578924 is a wasteful number, since it uses less digits than its factorization.

1252578924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48779 (or 48771 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1252578924 is about 35391.7917602373. The cubic root of 1252578924 is about 1077.9576525737.

The spelling of 1252578924 in words is "one billion, two hundred fifty-two million, five hundred seventy-eight thousand, nine hundred twenty-four".