45431120 has 80 divisors (see below), whose sum is σ = 124658688. Its totient is φ = 15068160.

The previous prime is 45431119. The next prime is 45431131. The reversal of 45431120 is 2113454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45431092 and 45431101.

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, 16052 + ... + 18668.

Almost surely, 2^45431120 is an apocalyptic number.

45431120 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 45431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62329344).

45431120 is an abundant number, since it is smaller than the sum of its proper divisors (79227568).

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

45431120 is a wasteful number, since it uses less digits than its factorization.

45431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45431120 is about 6740.2611225382. The cubic root of 45431120 is about 356.8216094884.

Adding to 45431120 its reverse (2113454), we get a palindrome (47544574).

The spelling of 45431120 in words is "forty-five million, four hundred thirty-one thousand, one hundred twenty".