252689760 has 192 divisors, whose sum is σ = 915364800. Its totient is φ = 65028096.

The previous prime is 252689737. The next prime is 252689771. The reversal of 252689760 is 67986252.

It is a super-2 number, since 2×252689760² = 127704229617715200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124272 + ... + 126288.

It is an arithmetic number, because the mean of its divisors is an integer number (4767525).

Almost surely, 2^252689760 is an apocalyptic number.

252689760 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 252689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457682400).

252689760 is an abundant number, since it is smaller than the sum of its proper divisors (662675040).

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

252689760 is a wasteful number, since it uses less digits than its factorization.

252689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 252689760 is about 15896.2184182277. The cubic root of 252689760 is about 632.2117273839.

Subtracting from 252689760 its product of nonzero digits (362880), we obtain a triangular number (252326880 = T₂₂₄₆₄).

The spelling of 252689760 in words is "two hundred fifty-two million, six hundred eighty-nine thousand, seven hundred sixty".