45770300280 has 192 divisors, whose sum is σ = 150160158720. Its totient is φ = 12090566400.

The previous prime is 45770300273. The next prime is 45770300339. The reversal of 45770300280 is 8200307754.

45770300280 is a `hidden beast` number, since 4 + 5 + 7 + 70 + 300 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18082615 + ... + 18085145.

It is an arithmetic number, because the mean of its divisors is an integer number (782084160).

Almost surely, 2^45770300280 is an apocalyptic number.

45770300280 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 45770300280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75080079360).

45770300280 is an abundant number, since it is smaller than the sum of its proper divisors (104389858440).

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

45770300280 is a wasteful number, since it uses less digits than its factorization.

45770300280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 45770300280 in words is "forty-five billion, seven hundred seventy million, three hundred thousand, two hundred eighty".