45190600 has 144 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 14227200.

The previous prime is 45190597. The next prime is 45190601. The reversal of 45190600 is 609154.

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

It is not an unprimeable number, because it can be changed into a prime (45190601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236505 + ... + 236695.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 2^45190600 is an apocalyptic number.

45190600 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 45190600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

45190600 is an abundant number, since it is smaller than the sum of its proper divisors (85515320).

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

45190600 is a wasteful number, since it uses less digits than its factorization.

45190600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 45190600 is about 6722.3954064009. The cubic root of 45190600 is about 356.1908037479.

Adding to 45190600 its reverse (609154), we get a palindrome (45799754).

The spelling of 45190600 in words is "forty-five million, one hundred ninety thousand, six hundred".