45280456 has 32 divisors (see below), whose sum is σ = 92264760. Its totient is φ = 20708352.

The previous prime is 45280427. The next prime is 45280457. The reversal of 45280456 is 65408254.

45280456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32103556 + 13176900 = 5666^2 + 3630^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45280457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9826 + ... + 13678.

Almost surely, 2^45280456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45280456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46132380).

45280456 is an abundant number, since it is smaller than the sum of its proper divisors (46984304).

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

45280456 is a wasteful number, since it uses less digits than its factorization.

45280456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 45280456 is about 6729.0754194020. The cubic root of 45280456 is about 356.4267281141.

It can be divided in two parts, 452 and 80456, that added together give a palindrome (80908).

The spelling of 45280456 in words is "forty-five million, two hundred eighty thousand, four hundred fifty-six".