465403152 has 80 divisors (see below), whose sum is σ = 1285846272. Its totient is φ = 144537600.

The previous prime is 465403121. The next prime is 465403153. The reversal of 465403152 is 251304564.

It is not an unprimeable number, because it can be changed into a prime (465403153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79593 + ... + 85239.

Almost surely, 2^465403152 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 465403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642923136).

465403152 is an abundant number, since it is smaller than the sum of its proper divisors (820443120).

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

465403152 is a wasteful number, since it uses less digits than its factorization.

465403152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465403152 is about 21573.2044907566. The cubic root of 465403152 is about 774.9549204442.

The spelling of 465403152 in words is "four hundred sixty-five million, four hundred three thousand, one hundred fifty-two".