45209934 has 128 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 11512800.

The previous prime is 45209933. The next prime is 45209951. The reversal of 45209934 is 43990254.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45209933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345049 + ... + 345179.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^45209934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45209934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

45209934 is an abundant number, since it is smaller than the sum of its proper divisors (82523826).

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

45209934 is a wasteful number, since it uses less digits than its factorization.

45209934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45209934 is about 6723.8332816928. The cubic root of 45209934 is about 356.2415931534.

The spelling of 45209934 in words is "forty-five million, two hundred nine thousand, nine hundred thirty-four".