465208632 has 192 divisors, whose sum is σ = 1509580800. Its totient is φ = 126650880.

The previous prime is 465208453. The next prime is 465208637. The reversal of 465208632 is 236802564.

It is a super-2 number, since 2×465208632² = 432838142574622848, which contains 22 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 (465208637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970969 + ... + 971447.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^465208632 is an apocalyptic number.

465208632 is a gapful number since it is divisible by the number (42) 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 465208632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

465208632 is an abundant number, since it is smaller than the sum of its proper divisors (1044372168).

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

465208632 is a wasteful number, since it uses less digits than its factorization.

465208632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 465208632 is about 21568.6956490187. The cubic root of 465208632 is about 774.8469386245.

The spelling of 465208632 in words is "four hundred sixty-five million, two hundred eight thousand, six hundred thirty-two".