45807480 has 192 divisors, whose sum is σ = 161834400. Its totient is φ = 11197440.

The previous prime is 45807413. The next prime is 45807481. The reversal of 45807480 is 8470854.

45807480 is a `hidden beast` number, since 4 + 580 + 74 + 8 + 0 = 666.

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 (45807481) 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 47 ways as a sum of consecutive naturals, for example, 252990 + ... + 253170.

Almost surely, 2^45807480 is an apocalyptic number.

45807480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80917200).

45807480 is an abundant number, since it is smaller than the sum of its proper divisors (116026920).

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

45807480 is a wasteful number, since it uses less digits than its factorization.

45807480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

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

The square root of 45807480 is about 6768.1223393198. The cubic root of 45807480 is about 357.8042269910.

The spelling of 45807480 in words is "forty-five million, eight hundred seven thousand, four hundred eighty".