45201906 has 48 divisors (see below), whose sum is σ = 102885120. Its totient is φ = 14323680.

The previous prime is 45201899. The next prime is 45201907. The reversal of 45201906 is 60910254.

It is a self number, because there is not a number n which added to its sum of digits gives 45201906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45201907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32236 + ... + 33608.

It is an arithmetic number, because the mean of its divisors is an integer number (2143440).

Almost surely, 2^45201906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45201906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442560).

45201906 is an abundant number, since it is smaller than the sum of its proper divisors (57683214).

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

45201906 is a wasteful number, since it uses less digits than its factorization.

45201906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45201906 is about 6723.2362742953. The cubic root of 45201906 is about 356.2205057761.

The spelling of 45201906 in words is "forty-five million, two hundred one thousand, nine hundred six".