467865000 has 240 divisors, whose sum is σ = 1631993220. Its totient is φ = 120960000.

The previous prime is 467864977. The next prime is 467865019. The reversal of 467865000 is 568764.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 527076 + 467337924 = 726^2 + 21618^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1664860 + ... + 1665140.

Almost surely, 2^467865000 is an apocalyptic number.

467865000 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 467865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815996610).

467865000 is an abundant number, since it is smaller than the sum of its proper divisors (1164128220).

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

467865000 is a wasteful number, since it uses less digits than its factorization.

467865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 467865000 is about 21630.1872391341. The cubic root of 467865000 is about 776.3189472548.

The spelling of 467865000 in words is "four hundred sixty-seven million, eight hundred sixty-five thousand".