465946880 has 432 divisors, whose sum is σ = 1509943680. Its totient is φ = 136249344.

The previous prime is 465946841. The next prime is 465946889. The reversal of 465946880 is 88649564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (465946889) 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, 20258549 + ... + 20258571.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^465946880 is an apocalyptic number.

465946880 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 465946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754971840).

465946880 is an abundant number, since it is smaller than the sum of its proper divisors (1043996800).

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

465946880 is a wasteful number, since it uses less digits than its factorization.

465946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The square root of 465946880 is about 21585.8027416170. The cubic root of 465946880 is about 775.2565948820.

The spelling of 465946880 in words is "four hundred sixty-five million, nine hundred forty-six thousand, eight hundred eighty".