456328 has 8 divisors (see below), whose sum is σ = 855630. Its totient is φ = 228160.

The previous prime is 456293. The next prime is 456329. The reversal of 456328 is 823654.

It can be written as a sum of positive squares in only one way, i.e., 407044 + 49284 = 638^2 + 222^2 .

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

It is a d-powerful number, because it can be written as 4² + 5⁸ + 3⁴ + 6 + 2¹⁶ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 456296 and 456305.

It is not an unprimeable number, because it can be changed into a prime (456329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28513 + ... + 28528.

2⁴⁵⁶³²⁸ is an apocalyptic number.

It is an amenable number.

456328 is a deficient number, since it is larger than the sum of its proper divisors (399302).

456328 is a wasteful number, since it uses less digits than its factorization.

456328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57047 (or 57043 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 456328 is about 675.5205400282. The cubic root of 456328 is about 76.9884730032.

It can be divided in two parts, 456 and 328, that added together give a square (784 = 28²).

The spelling of 456328 in words is "four hundred fifty-six thousand, three hundred twenty-eight".