465989328 has 80 divisors (see below), whose sum is σ = 1528652160. Its totient is φ = 133138944.

The previous prime is 465989317. The next prime is 465989351. The reversal of 465989328 is 823989564.

465989328 is a `hidden beast` number, since 46 + 598 + 9 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 74025 + ... + 80072.

It is an arithmetic number, because the mean of its divisors is an integer number (19108152).

Almost surely, 2^465989328 is an apocalyptic number.

465989328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465989328 is an abundant number, since it is smaller than the sum of its proper divisors (1062662832).

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

465989328 is a wasteful number, since it uses less digits than its factorization.

465989328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154121 (or 154109 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 465989328 is about 21586.7859580809. The cubic root of 465989328 is about 775.2801362584.

The spelling of 465989328 in words is "four hundred sixty-five million, nine hundred eighty-nine thousand, three hundred twenty-eight".