465676776 has 160 divisors (see below), whose sum is σ = 1389564000. Its totient is φ = 145286784.

The previous prime is 465676763. The next prime is 465676777. The reversal of 465676776 is 677676564.

465676776 is a `hidden beast` number, since 4 + 6 + 567 + 6 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8890560) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (465676777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1341835 + ... + 1342181.

It is an arithmetic number, because the mean of its divisors is an integer number (8684775).

Almost surely, 2^465676776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465676776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694782000).

465676776 is an abundant number, since it is smaller than the sum of its proper divisors (923887224).

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

465676776 is a wasteful number, since it uses less digits than its factorization.

465676776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 465676776 is about 21579.5453149505. The cubic root of 465676776 is about 775.1067635088.

The spelling of 465676776 in words is "four hundred sixty-five million, six hundred seventy-six thousand, seven hundred seventy-six".