467328288 has 72 divisors (see below), whose sum is σ = 1427034672. Its totient is φ = 133521024.

The previous prime is 467328271. The next prime is 467328289. The reversal of 467328288 is 882823764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (467328289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44970 + ... + 54377.

It is an arithmetic number, because the mean of its divisors is an integer number (19819926).

Almost surely, 2^467328288 is an apocalyptic number.

467328288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

467328288 is an abundant number, since it is smaller than the sum of its proper divisors (959706384).

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

467328288 is a wasteful number, since it uses less digits than its factorization.

467328288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99374 (or 99359 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 467328288 is about 21617.7771290205. Note that the first 3 decimals coincide. The cubic root of 467328288 is about 776.0219818763.

The spelling of 467328288 in words is "four hundred sixty-seven million, three hundred twenty-eight thousand, two hundred eighty-eight".