467406500 has 96 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 159936000.

The previous prime is 467406413. The next prime is 467406509. The reversal of 467406500 is 5604764.

It is not an unprimeable number, because it can be changed into a prime (467406509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91001 + ... + 95999.

It is an arithmetic number, because the mean of its divisors is an integer number (12285000).

Almost surely, 2^467406500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

467406500 is an abundant number, since it is smaller than the sum of its proper divisors (711953500).

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

467406500 is a wasteful number, since it uses less digits than its factorization.

467406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 467406500 is about 21619.5860274891. The cubic root of 467406500 is about 776.0652711066.

The spelling of 467406500 in words is "four hundred sixty-seven million, four hundred six thousand, five hundred".