467933328 has 160 divisors (see below), whose sum is σ = 1424908800. Its totient is φ = 146764800.

The previous prime is 467933281. The next prime is 467933329. The reversal of 467933328 is 823339764.

It is not an unprimeable number, because it can be changed into a prime (467933329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513193 + ... + 514103.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^467933328 is an apocalyptic number.

467933328 is a gapful number since it is divisible by the number (48) 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 467933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

467933328 is an abundant number, since it is smaller than the sum of its proper divisors (956975472).

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

467933328 is a wasteful number, since it uses less digits than its factorization.

467933328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 467933328 is about 21631.7666407531. The cubic root of 467933328 is about 776.3567371721.

The spelling of 467933328 in words is "four hundred sixty-seven million, nine hundred thirty-three thousand, three hundred twenty-eight".