252779436 has 216 divisors, whose sum is σ = 816807264. Its totient is φ = 65318400.

The previous prime is 252779431. The next prime is 252779447. The reversal of 252779436 is 634977252.

252779436 is a `hidden beast` number, since 2 + 527 + 7 + 94 + 36 = 666.

252779436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252779391 and 252779400.

It is not an unprimeable number, because it can be changed into a prime (252779431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1673961 + ... + 1674111.

Almost surely, 2^252779436 is an apocalyptic number.

252779436 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 252779436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408403632).

252779436 is an abundant number, since it is smaller than the sum of its proper divisors (564027828).

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

252779436 is a wasteful number, since it uses less digits than its factorization.

252779436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 252779436 is about 15899.0388388732. The cubic root of 252779436 is about 632.2865061871.

The spelling of 252779436 in words is "two hundred fifty-two million, seven hundred seventy-nine thousand, four hundred thirty-six".