45902220 has 144 divisors (see below), whose sum is σ = 161144928. Its totient is φ = 9676800.

The previous prime is 45902191. The next prime is 45902249. The reversal of 45902220 is 2220954.

45902220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45902191) and next prime (45902249).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37620 + ... + 38820.

It is an arithmetic number, because the mean of its divisors is an integer number (1119062).

Almost surely, 2^45902220 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 45902220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80572464).

45902220 is an abundant number, since it is smaller than the sum of its proper divisors (115242708).

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

45902220 is a wasteful number, since it uses less digits than its factorization.

45902220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45902220 is about 6775.1177111545. The cubic root of 45902220 is about 358.0507298875.

The spelling of 45902220 in words is "forty-five million, nine hundred two thousand, two hundred twenty".