1251408672 has 72 divisors (see below), whose sum is σ = 3654905436. Its totient is φ = 405858816.

The previous prime is 1251408629. The next prime is 1251408673. The reversal of 1251408672 is 2768041521.

It can be written as a sum of positive squares in 2 ways, for example, as 941507856 + 309900816 = 30684^2 + 17604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1251408673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48063 + ... + 69374.

Almost surely, 2^1251408672 is an apocalyptic number.

1251408672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1251408672 is an abundant number, since it is smaller than the sum of its proper divisors (2403496764).

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

1251408672 is a wasteful number, since it uses less digits than its factorization.

1251408672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117490 (or 117479 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1251408672 is about 35375.2550803524. The cubic root of 1251408672 is about 1077.6218453483.

The spelling of 1251408672 in words is "one billion, two hundred fifty-one million, four hundred eight thousand, six hundred seventy-two".