30456 has 40 divisors (see below), whose sum is σ = 87120. Its totient is φ = 9936.

The previous prime is 30449. The next prime is 30467. The reversal of 30456 is 65403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30456.

It is an unprimeable number.

30456 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 9 ways as a sum of consecutive naturals, for example, 625 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (2178).

2³⁰⁴⁵⁶ is an apocalyptic number.

30456 is a gapful number since it is divisible by the number (36) 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 30456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560).

30456 is an abundant number, since it is smaller than the sum of its proper divisors (56664).

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

30456 is a wasteful number, since it uses less digits than its factorization.

30456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30456 is about 174.5164748670. The cubic root of 30456 is about 31.2289671804.

Adding to 30456 its reverse (65403), we get a palindrome (95859).

The spelling of 30456 in words is "thirty thousand, four hundred fifty-six".