468762252 has 48 divisors (see below), whose sum is σ = 1251586560. Its totient is φ = 133765632.

The previous prime is 468762251. The next prime is 468762271. The reversal of 468762252 is 252267864.

It is a super-2 number, since 2×468762252² = 439476097800223008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (468762251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75033 + ... + 81039.

It is an arithmetic number, because the mean of its divisors is an integer number (26074720).

Almost surely, 2^468762252 is an apocalyptic number.

468762252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468762252 is an abundant number, since it is smaller than the sum of its proper divisors (782824308).

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

468762252 is a wasteful number, since it uses less digits than its factorization.

468762252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6948 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 468762252 is about 21650.9180405820. The cubic root of 468762252 is about 776.8148943962.

The spelling of 468762252 in words is "four hundred sixty-eight million, seven hundred sixty-two thousand, two hundred fifty-two".