468541752 has 32 divisors (see below), whose sum is σ = 1338691200. Its totient is φ = 133869024.

The previous prime is 468541739. The next prime is 468541757. The reversal of 468541752 is 257145864.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468541757) 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, 1394302 + ... + 1394637.

It is an arithmetic number, because the mean of its divisors is an integer number (41834100).

Almost surely, 2^468541752 is an apocalyptic number.

468541752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468541752 is an abundant number, since it is smaller than the sum of its proper divisors (870149448).

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

468541752 is a wasteful number, since it uses less digits than its factorization.

468541752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788955 (or 2788951 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 468541752 is about 21645.8252787922. The cubic root of 468541752 is about 776.6930739014.

The spelling of 468541752 in words is "four hundred sixty-eight million, five hundred forty-one thousand, seven hundred fifty-two".