45349000 has 64 divisors (see below), whose sum is σ = 107406000. Its totient is φ = 17920000.

The previous prime is 45348997. The next prime is 45349021. The reversal of 45349000 is 94354.

45349000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11546404 + 33802596 = 3398^2 + 5814^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 100776 + ... + 101224.

Almost surely, 2^45349000 is an apocalyptic number.

45349000 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 45349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

45349000 is an abundant number, since it is smaller than the sum of its proper divisors (62057000).

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

45349000 is a wasteful number, since it uses less digits than its factorization.

45349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 45349000 is about 6734.1666151054. The cubic root of 45349000 is about 356.6064862895.

The spelling of 45349000 in words is "forty-five million, three hundred forty-nine thousand".