464823765 has 192 divisors, whose sum is σ = 1033224192. Its totient is φ = 195955200.

The previous prime is 464823761. The next prime is 464823781. The reversal of 464823765 is 567328464.

It is not a de Polignac number, because 464823765 - 2² = 464823761 is a prime.

It is a super-2 number, since 2×464823765² = 432122265017550450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 464823765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464823761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10809834 + ... + 10809876.

It is an arithmetic number, because the mean of its divisors is an integer number (5381376).

Almost surely, 2^464823765 is an apocalyptic number.

464823765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464823765 is an abundant number, since it is smaller than the sum of its proper divisors (568400427).

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

464823765 is a wasteful number, since it uses less digits than its factorization.

464823765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 464823765 is about 21559.7719143779. The cubic root of 464823765 is about 774.6332027712.

The spelling of 464823765 in words is "four hundred sixty-four million, eight hundred twenty-three thousand, seven hundred sixty-five".