10456 has 8 divisors (see below), whose sum is σ = 19620. Its totient is φ = 5224.

The previous prime is 10453. The next prime is 10457. The reversal of 10456 is 65401.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 646 + ... + 661.

2¹⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

10456 is a deficient number, since it is larger than the sum of its proper divisors (9164).

10456 is a wasteful number, since it uses less digits than its factorization.

10456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10456 is about 102.2545842493. The cubic root of 10456 is about 21.8669657570.

Subtracting from 10456 its sum of digits (16), we obtain a triangular number (10440 = T₁₄₄).

Adding to 10456 its reverse (65401), we get a palindrome (75857).

Subtracting 10456 from its reverse (65401), we obtain a palindrome (54945).

It can be divided in two parts, 10 and 456, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 10456 in words is "ten thousand, four hundred fifty-six".