45605880 has 48 divisors (see below), whose sum is σ = 148220280. Its totient is φ = 12161472.

The previous prime is 45605869. The next prime is 45605887. The reversal of 45605880 is 8850654.

It is a happy number.

45605880 is a `hidden beast` number, since 45 + 605 + 8 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (45605887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62982 + ... + 63701.

Almost surely, 2^45605880 is an apocalyptic number.

45605880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45605880 is an abundant number, since it is smaller than the sum of its proper divisors (102614400).

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

45605880 is a wasteful number, since it uses less digits than its factorization.

45605880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126700 (or 126693 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45605880 is about 6753.2125688445. The cubic root of 45605880 is about 357.2785529313.

It can be divided in two parts, 4560 and 5880, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 45605880 in words is "forty-five million, six hundred five thousand, eight hundred eighty".