465408528 has 80 divisors (see below), whose sum is σ = 1316124096. Its totient is φ = 140843520.

The previous prime is 465408509. The next prime is 465408571. The reversal of 465408528 is 825804564.

It is a self number, because there is not a number n which added to its sum of digits gives 465408528.

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, 31951 + ... + 44177.

Almost surely, 2^465408528 is an apocalyptic number.

465408528 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 465408528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658062048).

465408528 is an abundant number, since it is smaller than the sum of its proper divisors (850715568).

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

465408528 is a wasteful number, since it uses less digits than its factorization.

465408528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 465408528 is about 21573.3290894104. The cubic root of 465408528 is about 774.9579043386.

The spelling of 465408528 in words is "four hundred sixty-five million, four hundred eight thousand, five hundred twenty-eight".