252592740 has 72 divisors (see below), whose sum is σ = 770530488. Its totient is φ = 66977280.

The previous prime is 252592729. The next prime is 252592763. The reversal of 252592740 is 47295252.

It is a happy number.

252592740 is a `hidden beast` number, since 2 + 525 + 92 + 7 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 224460324 = 5304^2 + 14982^2 .

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 = 252592695 and 252592704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28704 + ... + 36456.

Almost surely, 2^252592740 is an apocalyptic number.

252592740 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 252592740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385265244).

252592740 is an abundant number, since it is smaller than the sum of its proper divisors (517937748).

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

252592740 is a wasteful number, since it uses less digits than its factorization.

252592740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7944 counting only the distinct ones).

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

The square root of 252592740 is about 15893.1664560590. The cubic root of 252592740 is about 632.1308046566.

The spelling of 252592740 in words is "two hundred fifty-two million, five hundred ninety-two thousand, seven hundred forty".