252779520 has 176 divisors, whose sum is σ = 924392448. Its totient is φ = 57753600.

The previous prime is 252779519. The next prime is 252779521. The reversal of 252779520 is 25977252.

It is an interprime number because it is at equal distance from previous prime (252779519) and next prime (252779521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252779521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106345 + ... + 108695.

Almost surely, 2^252779520 is an apocalyptic number.

252779520 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 252779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462196224).

252779520 is an abundant number, since it is smaller than the sum of its proper divisors (671612928).

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

252779520 is a wasteful number, since it uses less digits than its factorization.

252779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 252779520 is about 15899.0414805422. The cubic root of 252779520 is about 632.2865762245.

The spelling of 252779520 in words is "two hundred fifty-two million, seven hundred seventy-nine thousand, five hundred twenty".