45359000 has 64 divisors (see below), whose sum is σ = 107883360. Its totient is φ = 17846400.

The previous prime is 45358981. The next prime is 45359011. The reversal of 45359000 is 95354.

45359000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66662 + ... + 67338.

Almost surely, 2^45359000 is an apocalyptic number.

45359000 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 45359000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53941680).

45359000 is an abundant number, since it is smaller than the sum of its proper divisors (62524360).

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

45359000 is a wasteful number, since it uses less digits than its factorization.

45359000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 45359000 is about 6734.9090565501. The cubic root of 45359000 is about 356.6326963697.

The spelling of 45359000 in words is "forty-five million, three hundred fifty-nine thousand".