45420456 has 64 divisors (see below), whose sum is σ = 120153600. Its totient is φ = 14284800.

The previous prime is 45420443. The next prime is 45420457. The reversal of 45420456 is 65402454.

45420456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45420457) 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 15 ways as a sum of consecutive naturals, for example, 29760 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (1877400).

Almost surely, 2^45420456 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 45420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60076800).

45420456 is an abundant number, since it is smaller than the sum of its proper divisors (74733144).

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

45420456 is a wasteful number, since it uses less digits than its factorization.

45420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45420456 is about 6739.4700088360. The cubic root of 45420456 is about 356.7936885140.

It can be divided in two parts, 454 and 20456, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 45420456 in words is "forty-five million, four hundred twenty thousand, four hundred fifty-six".