45205020 has 96 divisors (see below), whose sum is σ = 160742400. Its totient is φ = 10331712.

The previous prime is 45205019. The next prime is 45205067. The reversal of 45205020 is 2050254.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45204984 and 45205002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 2^45205020 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 45205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80371200).

45205020 is an abundant number, since it is smaller than the sum of its proper divisors (115537380).

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

45205020 is a wasteful number, since it uses less digits than its factorization.

45205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45205020 is about 6723.4678552069. The cubic root of 45205020 is about 356.2286857054.

Adding to 45205020 its reverse (2050254), we get a palindrome (47255274).

The spelling of 45205020 in words is "forty-five million, two hundred five thousand, twenty".