252438440 has 32 divisors (see below), whose sum is σ = 601399080. Its totient is φ = 95035392.

The previous prime is 252438413. The next prime is 252438449. The reversal of 252438440 is 44834252.

It can be written as a sum of positive squares in 4 ways, for example, as 208109476 + 44328964 = 14426^2 + 6658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252438397 and 252438406.

It is not an unprimeable number, because it can be changed into a prime (252438449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184937 + ... + 186296.

Almost surely, 2^252438440 is an apocalyptic number.

252438440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252438440 is an abundant number, since it is smaller than the sum of its proper divisors (348960640).

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

252438440 is a wasteful number, since it uses less digits than its factorization.

252438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371261 (or 371257 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 252438440 is about 15888.3114269579. The cubic root of 252438440 is about 632.0020629639.

The spelling of 252438440 in words is "two hundred fifty-two million, four hundred thirty-eight thousand, four hundred forty".