45801000 has 192 divisors, whose sum is σ = 177166080. Its totient is φ = 10454400.

The previous prime is 45800987. The next prime is 45801031. The reversal of 45801000 is 10854.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62637 + ... + 63363.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 2^45801000 is an apocalyptic number.

45801000 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 45801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88583040).

45801000 is an abundant number, since it is smaller than the sum of its proper divisors (131365080).

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

45801000 is a wasteful number, since it uses less digits than its factorization.

45801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45801000 is about 6767.6436076377. The cubic root of 45801000 is about 357.7873543410.

Adding to 45801000 its reverse (10854), we get a palindrome (45811854).

The spelling of 45801000 in words is "forty-five million, eight hundred one thousand".