1252044864 has 504 divisors, whose sum is σ = 4553273088. Its totient is φ = 339655680.

The previous prime is 1252044853. The next prime is 1252044907. The reversal of 1252044864 is 4684402521.

1252044864 is a `hidden beast` number, since 12 + 520 + 44 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×1252044864³ (a number of 28 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 23623462 + ... + 23623514.

It is an arithmetic number, because the mean of its divisors is an integer number (9034272).

Almost surely, 2^1252044864 is an apocalyptic number.

1252044864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276636544).

1252044864 is an abundant number, since it is smaller than the sum of its proper divisors (3301228224).

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

1252044864 is an equidigital number, since it uses as much as digits as its factorization.

1252044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1252044864 is about 35384.2459860317. The cubic root of 1252044864 is about 1077.8044284557.

The spelling of 1252044864 in words is "one billion, two hundred fifty-two million, forty-four thousand, eight hundred sixty-four".