456567825 has 48 divisors (see below), whose sum is σ = 900228096. Its totient is φ = 199636800.

The previous prime is 456567821. The next prime is 456567833. The reversal of 456567825 is 528765654.

It is a happy number.

It is not a de Polignac number, because 456567825 - 2² = 456567821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456567821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6831 + ... + 30980.

It is an arithmetic number, because the mean of its divisors is an integer number (18754752).

Almost surely, 2^456567825 is an apocalyptic number.

It is an amenable number.

456567825 is a deficient number, since it is larger than the sum of its proper divisors (443660271).

456567825 is a wasteful number, since it uses less digits than its factorization.

456567825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37854 (or 37849 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The square root of 456567825 is about 21367.4477886340. The cubic root of 456567825 is about 770.0195784081.

It can be divided in two parts, 4565 and 67825, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 456567825 in words is "four hundred fifty-six million, five hundred sixty-seven thousand, eight hundred twenty-five".