252776970 has 64 divisors (see below), whose sum is σ = 692317440. Its totient is φ = 65582784.

The previous prime is 252776959. The next prime is 252776971. The reversal of 252776970 is 79677252.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252776971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (10817460).

Almost surely, 2^252776970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252776970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346158720).

252776970 is an abundant number, since it is smaller than the sum of its proper divisors (439540470).

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

252776970 is a wasteful number, since it uses less digits than its factorization.

252776970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25356 (or 25350 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 252776970 is about 15898.9612868263. The cubic root of 252776970 is about 632.2844500816.

It can be divided in two parts, 2527 and 76970, that added together give a palindrome (79497).

The spelling of 252776970 in words is "two hundred fifty-two million, seven hundred seventy-six thousand, nine hundred seventy".