461264 has 20 divisors (see below), whose sum is σ = 904704. Its totient is φ = 227808.

The previous prime is 461257. The next prime is 461269. The reversal of 461264 is 462164.

It is a happy number.

461264 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461269) by changing a digit.

461264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1919 + ... + 2145.

2⁴⁶¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

461264 is a deficient number, since it is larger than the sum of its proper divisors (443440).

461264 is a wasteful number, since it uses less digits than its factorization.

461264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 461264 is about 679.1641922245. The cubic root of 461264 is about 77.2650672495.

Subtracting 461264 from its reverse (462164), we obtain a square (900 = 30²).

The spelling of 461264 in words is "four hundred sixty-one thousand, two hundred sixty-four".