467291328 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 127841280.

The previous prime is 467291311. The next prime is 467291351. The reversal of 467291328 is 823192764.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×467291328² = 436722370448007168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 467291328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5629975 + ... + 5630057.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^467291328 is an apocalyptic number.

467291328 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 467291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

467291328 is an abundant number, since it is smaller than the sum of its proper divisors (1007452992).

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

467291328 is a wasteful number, since it uses less digits than its factorization.

467291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 467291328 is about 21616.9222601183. The cubic root of 467291328 is about 776.0015233612.

The spelling of 467291328 in words is "four hundred sixty-seven million, two hundred ninety-one thousand, three hundred twenty-eight".