465699360 has 384 divisors, whose sum is σ = 1839366144. Its totient is φ = 96583680.

The previous prime is 465699349. The next prime is 465699383. The reversal of 465699360 is 63996564.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1770589 + ... + 1770851.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2^465699360 is an apocalyptic number.

465699360 is a gapful number since it is divisible by the number (40) 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 465699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919683072).

465699360 is an abundant number, since it is smaller than the sum of its proper divisors (1373666784).

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

465699360 is a wasteful number, since it uses less digits than its factorization.

465699360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 465699360 is about 21580.0685819114. The cubic root of 465699360 is about 775.1192934645.

The spelling of 465699360 in words is "four hundred sixty-five million, six hundred ninety-nine thousand, three hundred sixty".