468515000 has 40 divisors (see below), whose sum is σ = 1097742360. Its totient is φ = 187404000.

The previous prime is 468514973. The next prime is 468515009. The reversal of 468515000 is 515864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468515009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41852 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (27443559).

Almost surely, 2^468515000 is an apocalyptic number.

468515000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468515000 is an abundant number, since it is smaller than the sum of its proper divisors (629227360).

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

468515000 is an equidigital number, since it uses as much as digits as its factorization.

468515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93729 (or 93710 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 468515000 is about 21645.2073217144. The cubic root of 468515000 is about 776.6782915200.

The spelling of 468515000 in words is "four hundred sixty-eight million, five hundred fifteen thousand".