252779540 has 24 divisors (see below), whose sum is σ = 571671240. Its totient is φ = 93333888.

The previous prime is 252779521. The next prime is 252779561. The reversal of 252779540 is 45977252.

It can be written as a sum of positive squares in 4 ways, for example, as 27899524 + 224880016 = 5282^2 + 14996^2 .

It is a super-2 number, since 2×252779540² = 127794991685223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485855 + ... + 486374.

It is an arithmetic number, because the mean of its divisors is an integer number (23819635).

Almost surely, 2^252779540 is an apocalyptic number.

252779540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252779540 is an abundant number, since it is smaller than the sum of its proper divisors (318891700).

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

252779540 is a wasteful number, since it uses less digits than its factorization.

252779540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972251 (or 972249 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 252779540 is about 15899.0421095109. The cubic root of 252779540 is about 632.2865929001.

The spelling of 252779540 in words is "two hundred fifty-two million, seven hundred seventy-nine thousand, five hundred forty".