45800280 has 192 divisors, whose sum is σ = 159213600. Its totient is φ = 11397120.

The previous prime is 45800269. The next prime is 45800281. The reversal of 45800280 is 8200854.

45800280 is a `hidden beast` number, since 4 + 580 + 0 + 2 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45800281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427987 + ... + 428093.

Almost surely, 2^45800280 is an apocalyptic number.

45800280 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 45800280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

45800280 is an abundant number, since it is smaller than the sum of its proper divisors (113413320).

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

45800280 is a wasteful number, since it uses less digits than its factorization.

45800280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45800280 is about 6767.5904131382. The cubic root of 45800280 is about 357.7854795039.

The spelling of 45800280 in words is "forty-five million, eight hundred thousand, two hundred eighty".