45426600 has 72 divisors (see below), whose sum is σ = 152563710. Its totient is φ = 12113280.

The previous prime is 45426599. The next prime is 45426607. The reversal of 45426600 is 662454.

It is a happy number.

45426600 is a `hidden beast` number, since 4 + 54 + 2 + 6 + 600 = 666.

45426600 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 3 ways, for example, as 38862756 + 6563844 = 6234^2 + 2562^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45426607) 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 17 ways as a sum of consecutive naturals, for example, 10819 + ... + 14418.

Almost surely, 2^45426600 is an apocalyptic number.

45426600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45426600 is an abundant number, since it is smaller than the sum of its proper divisors (107137110).

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

45426600 is a wasteful number, since it uses less digits than its factorization.

45426600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25259 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45426600 is about 6739.9258156155. The cubic root of 45426600 is about 356.8097755504.

The spelling of 45426600 in words is "forty-five million, four hundred twenty-six thousand, six hundred".