252405414 has 48 divisors (see below), whose sum is σ = 557700000. Its totient is φ = 82487808.

The previous prime is 252405383. The next prime is 252405437. The reversal of 252405414 is 414504252.

252405414 is a `hidden beast` number, since 2 + 5 + 240 + 5 + 414 = 666.

It is a super-2 number, since 2×252405414² = 127416986033022792, which contains 22 as substring.

It is a congruent number.

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, 201462 + ... + 202710.

It is an arithmetic number, because the mean of its divisors is an integer number (11618750).

Almost surely, 2^252405414 is an apocalyptic number.

252405414 is an abundant number, since it is smaller than the sum of its proper divisors (305294586).

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

252405414 is a wasteful number, since it uses less digits than its factorization.

252405414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 252405414 is about 15887.2720754697. The cubic root of 252405414 is about 631.9745005868.

Adding to 252405414 its reverse (414504252), we get a palindrome (666909666).

The spelling of 252405414 in words is "two hundred fifty-two million, four hundred five thousand, four hundred fourteen".