465406656 has 336 divisors, whose sum is σ = 1543702272. Its totient is φ = 122664960.

The previous prime is 465406639. The next prime is 465406657. The reversal of 465406656 is 656604564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (465406657) 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, 6946335 + ... + 6946401.

It is an arithmetic number, because the mean of its divisors is an integer number (4594352).

Almost surely, 2^465406656 is an apocalyptic number.

465406656 is a gapful number since it is divisible by the number (46) 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 465406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771851136).

465406656 is an abundant number, since it is smaller than the sum of its proper divisors (1078295616).

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

465406656 is a wasteful number, since it uses less digits than its factorization.

465406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 465406656 is about 21573.2857024608. The cubic root of 465406656 is about 774.9568653065.

The spelling of 465406656 in words is "four hundred sixty-five million, four hundred six thousand, six hundred fifty-six".