465432084 has 108 divisors (see below), whose sum is σ = 1287143676. Its totient is φ = 141732864.

The previous prime is 465432083. The next prime is 465432101. The reversal of 465432084 is 480234564.

It can be written as a sum of positive squares in 6 ways, for example, as 58522500 + 406909584 = 7650^2 + 20172^2 .

It is a super-3 number, since 3×465432084³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465432083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687154 + ... + 687830.

It is an arithmetic number, because the mean of its divisors is an integer number (11917997).

Almost surely, 2^465432084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465432084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643571838).

465432084 is an abundant number, since it is smaller than the sum of its proper divisors (821711592).

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

465432084 is a wasteful number, since it uses less digits than its factorization.

465432084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 465432084 is about 21573.8750344021. The cubic root of 465432084 is about 774.9709785872.

The spelling of 465432084 in words is "four hundred sixty-five million, four hundred thirty-two thousand, eighty-four".