467995000 has 160 divisors (see below), whose sum is σ = 1223608320. Its totient is φ = 166320000.

The previous prime is 467994983. The next prime is 467995001. The reversal of 467995000 is 599764.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467995001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3684937 + ... + 3685063.

It is an arithmetic number, because the mean of its divisors is an integer number (7647552).

Almost surely, 2^467995000 is an apocalyptic number.

467995000 is a gapful number since it is divisible by the number (40) 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 467995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611804160).

467995000 is an abundant number, since it is smaller than the sum of its proper divisors (755613320).

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

467995000 is a wasteful number, since it uses less digits than its factorization.

467995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 467995000 is about 21633.1920899344. The cubic root of 467995000 is about 776.3908427213.

The spelling of 467995000 in words is "four hundred sixty-seven million, nine hundred ninety-five thousand".