252729540 has 72 divisors (see below), whose sum is σ = 876133440. Its totient is φ = 57766464.

The previous prime is 252729539. The next prime is 252729553. The reversal of 252729540 is 45927252.

It is a happy number.

252729540 is a `hidden beast` number, since 2 + 527 + 2 + 95 + 40 = 666.

It is a super-2 number, since 2×252729540² = 127744440777223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252729495 and 252729504.

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 23 ways as a sum of consecutive naturals, for example, 99030 + ... + 101549.

It is an arithmetic number, because the mean of its divisors is an integer number (12168520).

Almost surely, 2^252729540 is an apocalyptic number.

252729540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252729540 is an abundant number, since it is smaller than the sum of its proper divisors (623403900).

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

252729540 is a wasteful number, since it uses less digits than its factorization.

252729540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200601 (or 200596 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 252729540 is about 15897.4696099725. The cubic root of 252729540 is about 632.2449012158.

The spelling of 252729540 in words is "two hundred fifty-two million, seven hundred twenty-nine thousand, five hundred forty".