45378280 has 32 divisors (see below), whose sum is σ = 104864040. Its totient is φ = 17660160.

The previous prime is 45378259. The next prime is 45378323. The reversal of 45378280 is 8287354.

45378280 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 44702596 + 675684 = 6686^2 + 822^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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, 13851 + ... + 16810.

Almost surely, 2^45378280 is an apocalyptic number.

45378280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45378280 is an abundant number, since it is smaller than the sum of its proper divisors (59485760).

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

45378280 is a wasteful number, since it uses less digits than its factorization.

45378280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30709 (or 30705 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 45378280 is about 6736.3402526891. The cubic root of 45378280 is about 356.6832185329.

The spelling of 45378280 in words is "forty-five million, three hundred seventy-eight thousand, two hundred eighty".