60456 has 32 divisors (see below), whose sum is σ = 165600. Its totient is φ = 18240.

The previous prime is 60449. The next prime is 60457. The reversal of 60456 is 65406.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60456.

It is not an unprimeable number, because it can be changed into a prime (60457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

2⁶⁰⁴⁵⁶ is an apocalyptic number.

60456 is a gapful number since it is divisible by the number (66) 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 60456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82800).

60456 is an abundant number, since it is smaller than the sum of its proper divisors (105144).

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

60456 is a wasteful number, since it uses less digits than its factorization.

60456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 60456 is about 245.8780185376. The cubic root of 60456 is about 39.2476028666.

Subtracting 60456 from its reverse (65406), we obtain a triangular number (4950 = T₉₉).

The spelling of 60456 in words is "sixty thousand, four hundred fifty-six".