45420032 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 17031168.

The previous prime is 45420017. The next prime is 45420043. The reversal of 45420032 is 23002454.

It is a junction number, because it is equal to n+sod(n) for n = 45419986 and 45420013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566194 + ... + 1566222.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^45420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

45420032 is an abundant number, since it is smaller than the sum of its proper divisors (72429568).

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

45420032 is a wasteful number, since it uses less digits than its factorization.

45420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45420032 is about 6739.4385522831. The cubic root of 45420032 is about 356.7925782874.

Adding to 45420032 its reverse (23002454), we get a palindrome (68422486).

The spelling of 45420032 in words is "forty-five million, four hundred twenty thousand, thirty-two".