456411625 has 8 divisors (see below), whose sum is σ = 569601864. Its totient is φ = 365129200.

The previous prime is 456411617. The next prime is 456411629. The reversal of 456411625 is 526114654.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 456377769 = 184^2 + 21363^2 .

It is not a de Polignac number, because 456411625 - 2³ = 456411617 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456411629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825522 + ... + 1825771.

It is an arithmetic number, because the mean of its divisors is an integer number (71200233).

Almost surely, 2^456411625 is an apocalyptic number.

It is an amenable number.

456411625 is a deficient number, since it is larger than the sum of its proper divisors (113190239).

456411625 is an equidigital number, since it uses as much as digits as its factorization.

456411625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651308 (or 3651298 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 456411625 is about 21363.7923833761. The cubic root of 456411625 is about 769.9317559128.

The spelling of 456411625 in words is "four hundred fifty-six million, four hundred eleven thousand, six hundred twenty-five".