467585440 has 288 divisors, whose sum is σ = 1403075520. Its totient is φ = 146313216.

The previous prime is 467585413. The next prime is 467585453. The reversal of 467585440 is 44585764.

It is a super-2 number, since 2×467585440² = 437272287399987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6405244 + ... + 6405316.

It is an arithmetic number, because the mean of its divisors is an integer number (4871790).

Almost surely, 2^467585440 is an apocalyptic number.

467585440 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 467585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701537760).

467585440 is an abundant number, since it is smaller than the sum of its proper divisors (935490080).

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

467585440 is a wasteful number, since it uses less digits than its factorization.

467585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 467585440 is about 21623.7240085976. The cubic root of 467585440 is about 776.1642936933.

The spelling of 467585440 in words is "four hundred sixty-seven million, five hundred eighty-five thousand, four hundred forty".