465163776 has 640 divisors, whose sum is σ = 1885593600. Its totient is φ = 109486080.

The previous prime is 465163739. The next prime is 465163859. The reversal of 465163776 is 677361564.

465163776 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 637 + 7 + 6 = 666.

It is a congruent number.

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, 20224501 + ... + 20224523.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^465163776 is an apocalyptic number.

465163776 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 465163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942796800).

465163776 is an abundant number, since it is smaller than the sum of its proper divisors (1420429824).

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

465163776 is a wasteful number, since it uses less digits than its factorization.

465163776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 465163776 is about 21567.6557836034. The cubic root of 465163776 is about 774.8220339193.

The spelling of 465163776 in words is "four hundred sixty-five million, one hundred sixty-three thousand, seven hundred seventy-six".