464509368960 has 1280 divisors, whose sum is σ = 1946796284160. Its totient is φ = 93467049984.

The previous prime is 464509368949. The next prime is 464509368971. The reversal of 464509368960 is 69863905464.

It is an interprime number because it is at equal distance from previous prime (464509368949) and next prime (464509368971).

It is a super-2 number, since 2×464509368960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 464509368894 and 464509368903.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1378365912 + ... + 1378366248.

It is an arithmetic number, because the mean of its divisors is an integer number (1520934597).

Almost surely, 2^464509368960 is an apocalyptic number.

464509368960 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 464509368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973398142080).

464509368960 is an abundant number, since it is smaller than the sum of its proper divisors (1482286915200).

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

464509368960 is a wasteful number, since it uses less digits than its factorization.

464509368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 464509368960 in words is "four hundred sixty-four billion, five hundred nine million, three hundred sixty-eight thousand, nine hundred sixty".