45427680 has 72 divisors (see below), whose sum is σ = 155026872. Its totient is φ = 12113664.

The previous prime is 45427663. The next prime is 45427687. The reversal of 45427680 is 8672454.

45427680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×45427680² = 4127348220364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45427687) 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 11 ways as a sum of consecutive naturals, for example, 14334 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (2153151).

Almost surely, 2^45427680 is an apocalyptic number.

45427680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45427680 is an abundant number, since it is smaller than the sum of its proper divisors (109599192).

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

45427680 is a wasteful number, since it uses less digits than its factorization.

45427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31568 (or 31557 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45427680 is about 6740.0059347155. The cubic root of 45427680 is about 356.8126031999.

The spelling of 45427680 in words is "forty-five million, four hundred twenty-seven thousand, six hundred eighty".