252007760 has 20 divisors (see below), whose sum is σ = 585918228. Its totient is φ = 100803072.

The previous prime is 252007747. The next prime is 252007781. The reversal of 252007760 is 67700252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 184307776 + 67699984 = 13576^2 + 8228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×252007760² = 127015822200435200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1574969 + ... + 1575128.

Almost surely, 2^252007760 is an apocalyptic number.

252007760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252007760 is an abundant number, since it is smaller than the sum of its proper divisors (333910468).

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

252007760 is a wasteful number, since it uses less digits than its factorization.

252007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150110 (or 3150104 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 252007760 is about 15874.7522815318. The cubic root of 252007760 is about 631.6424431581.

The spelling of 252007760 in words is "two hundred fifty-two million, seven thousand, seven hundred sixty".