467882240 has 144 divisors (see below), whose sum is σ = 1299002880. Its totient is φ = 158146560.

The previous prime is 467882237. The next prime is 467882257. The reversal of 467882240 is 42288764.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707510 + ... + 708170.

Almost surely, 2^467882240 is an apocalyptic number.

467882240 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 467882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649501440).

467882240 is an abundant number, since it is smaller than the sum of its proper divisors (831120640).

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

467882240 is an equidigital number, since it uses as much as digits as its factorization.

467882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 467882240 is about 21630.5857525865. The cubic root of 467882240 is about 776.3284824656.

The spelling of 467882240 in words is "four hundred sixty-seven million, eight hundred eighty-two thousand, two hundred forty".