45427600 has 45 divisors (see below), whose sum is σ = 109464627. Its totient is φ = 18117120.

The previous prime is 45427597. The next prime is 45427633. The reversal of 45427600 is 672454.

The square root of 45427600 is 6740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 39137536 = 2508^2 + 6256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134632 + ... + 134968.

Almost surely, 2^45427600 is an apocalyptic number.

45427600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45427600 is the 6740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45427600

45427600 is an abundant number, since it is smaller than the sum of its proper divisors (64037027).

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

45427600 is an equidigital number, since it uses as much as digits as its factorization.

45427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The cubic root of 45427600 is about 356.8123937459.

The spelling of 45427600 in words is "forty-five million, four hundred twenty-seven thousand, six hundred".