45782280 has 64 divisors (see below), whose sum is σ = 152611200. Its totient is φ = 12208320.

The previous prime is 45782279. The next prime is 45782287. The reversal of 45782280 is 8228754.

It is a happy number.

45782280 is a `hidden beast` number, since 4 + 578 + 2 + 2 + 80 = 666.

It is a super-3 number, since 3×45782280³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45782287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20116 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (2384550).

Almost surely, 2^45782280 is an apocalyptic number.

45782280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45782280 is an abundant number, since it is smaller than the sum of its proper divisors (106828920).

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

45782280 is a wasteful number, since it uses less digits than its factorization.

45782280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42411 (or 42401 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45782280 is about 6766.2604147343. The cubic root of 45782280 is about 357.7386021886.

The spelling of 45782280 in words is "forty-five million, seven hundred eighty-two thousand, two hundred eighty".