252977850 has 192 divisors, whose sum is σ = 753166080. Its totient is φ = 62208000.

The previous prime is 252977849. The next prime is 252977861. The reversal of 252977850 is 58779252.

It is a happy number.

252977850 is a `hidden beast` number, since 2 + 529 + 7 + 78 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252977796 and 252977805.

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 95 ways as a sum of consecutive naturals, for example, 1675275 + ... + 1675425.

It is an arithmetic number, because the mean of its divisors is an integer number (3922740).

Almost surely, 2^252977850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252977850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376583040).

252977850 is an abundant number, since it is smaller than the sum of its proper divisors (500188230).

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

252977850 is a wasteful number, since it uses less digits than its factorization.

252977850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 252977850 is about 15905.2774260621. The cubic root of 252977850 is about 632.4518963349.

The spelling of 252977850 in words is "two hundred fifty-two million, nine hundred seventy-seven thousand, eight hundred fifty".