45219900 has 144 divisors (see below), whose sum is σ = 145490688. Its totient is φ = 10752000.

The previous prime is 45219899. The next prime is 45219907. The reversal of 45219900 is 991254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45219907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234204 + ... + 234396.

It is an arithmetic number, because the mean of its divisors is an integer number (1010352).

Almost surely, 2^45219900 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 45219900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72745344).

45219900 is an abundant number, since it is smaller than the sum of its proper divisors (100270788).

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

45219900 is a wasteful number, since it uses less digits than its factorization.

45219900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 45219900 is about 6724.5743359710. The cubic root of 45219900 is about 356.2677676580.

The spelling of 45219900 in words is "forty-five million, two hundred nineteen thousand, nine hundred".