252037440 has 224 divisors, whose sum is σ = 918789120. Its totient is φ = 64972800.

The previous prime is 252037403. The next prime is 252037477. The reversal of 252037440 is 44730252.

252037440 is a `hidden beast` number, since 252 + 0 + 374 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (252037403) and next prime (252037477).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267370 + ... + 268310.

Almost surely, 2^252037440 is an apocalyptic number.

252037440 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 252037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459394560).

252037440 is an abundant number, since it is smaller than the sum of its proper divisors (666751680).

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

252037440 is a wasteful number, since it uses less digits than its factorization.

252037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252037440 is about 15875.6870717459. The cubic root of 252037440 is about 631.6672392356.

Adding to 252037440 its reverse (44730252), we get a palindrome (296767692).

The spelling of 252037440 in words is "two hundred fifty-two million, thirty-seven thousand, four hundred forty".