252874404480 has 256 divisors, whose sum is σ = 816677769600. Its totient is φ = 66548908032.

The previous prime is 252874404467. The next prime is 252874404569. The reversal of 252874404480 is 84404478252.

It is a super-2 number, since 2×252874404480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46167502 + ... + 46172978.

Almost surely, 2^252874404480 is an apocalyptic number.

252874404480 is a gapful number since it is divisible by the number (20) 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 252874404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408338884800).

252874404480 is an abundant number, since it is smaller than the sum of its proper divisors (563803365120).

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

252874404480 is a wasteful number, since it uses less digits than its factorization.

252874404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 252874404480 in words is "two hundred fifty-two billion, eight hundred seventy-four million, four hundred four thousand, four hundred eighty".