252677540 has 48 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 95720064.

The previous prime is 252677539. The next prime is 252677543. The reversal of 252677540 is 45776252.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 252677494 and 252677503.

It is not an unprimeable number, because it can be changed into a prime (252677543) 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, 44714 + ... + 50046.

It is an arithmetic number, because the mean of its divisors is an integer number (11649456).

Almost surely, 2^252677540 is an apocalyptic number.

252677540 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 252677540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

252677540 is an abundant number, since it is smaller than the sum of its proper divisors (306496348).

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

252677540 is a wasteful number, since it uses less digits than its factorization.

252677540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 252677540 is about 15895.8340454347. The cubic root of 252677540 is about 632.2015360306.

The spelling of 252677540 in words is "two hundred fifty-two million, six hundred seventy-seven thousand, five hundred forty".