465777312 has 384 divisors, whose sum is σ = 1698859008. Its totient is φ = 107827200.

The previous prime is 465777311. The next prime is 465777353. The reversal of 465777312 is 213777564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (465777311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3555487 + ... + 3555617.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2^465777312 is an apocalyptic number.

465777312 is a gapful number since it is divisible by the number (42) 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 465777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849429504).

465777312 is an abundant number, since it is smaller than the sum of its proper divisors (1233081696).

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

465777312 is a wasteful number, since it uses less digits than its factorization.

465777312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 465777312 is about 21581.8746173728. The cubic root of 465777312 is about 775.1625393390.

It can be divided in two parts, 465 and 777312, that added together give a palindrome (777777).

The spelling of 465777312 in words is "four hundred sixty-five million, seven hundred seventy-seven thousand, three hundred twelve".