463764 has 24 divisors (see below), whose sum is σ = 1236928. Its totient is φ = 132480.

The previous prime is 463763. The next prime is 463781. The reversal of 463764 is 467364.

463764 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2677 + ... + 2844.

2⁴⁶³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

463764 is an abundant number, since it is smaller than the sum of its proper divisors (773164).

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

463764 is a wasteful number, since it uses less digits than its factorization.

463764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5533 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 463764 is about 681.0022026396. The cubic root of 463764 is about 77.4044052003.

Subtracting 463764 from its reverse (467364), we obtain a square (3600 = 60²).

The spelling of 463764 in words is "four hundred sixty-three thousand, seven hundred sixty-four".