252456776 has 64 divisors (see below), whose sum is σ = 563915520. Its totient is φ = 104440320.

The previous prime is 252456751. The next prime is 252456791. The reversal of 252456776 is 677654252.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82001 + ... + 85023.

It is an arithmetic number, because the mean of its divisors is an integer number (8811180).

Almost surely, 2^252456776 is an apocalyptic number.

252456776 is a gapful number since it is divisible by the number (26) 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 252456776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

252456776 is an abundant number, since it is smaller than the sum of its proper divisors (311458744).

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

252456776 is a wasteful number, since it uses less digits than its factorization.

252456776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3122 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The square root of 252456776 is about 15888.8884444444. Note that the first 3 decimals coincide. The cubic root of 252456776 is about 632.0173645285.

The spelling of 252456776 in words is "two hundred fifty-two million, four hundred fifty-six thousand, seven hundred seventy-six".