252767970 has 144 divisors (see below), whose sum is σ = 823488120. Its totient is φ = 53319168.

The previous prime is 252767969. The next prime is 252768013. The reversal of 252767970 is 79767252.

It can be written as a sum of positive squares in 4 ways, for example, as 94536729 + 158231241 = 9723^2 + 12579^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55126 + ... + 59534.

Almost surely, 2^252767970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252767970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411744060).

252767970 is an abundant number, since it is smaller than the sum of its proper divisors (570720150).

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

252767970 is a wasteful number, since it uses less digits than its factorization.

252767970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4439 counting only the distinct ones).

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

The square root of 252767970 is about 15898.6782469487. The cubic root of 252767970 is about 632.2769459333.

The spelling of 252767970 in words is "two hundred fifty-two million, seven hundred sixty-seven thousand, nine hundred seventy".