45320040 has 128 divisors (see below), whose sum is σ = 156384000. Its totient is φ = 11660544.

The previous prime is 45320029. The next prime is 45320053. The reversal of 45320040 is 4002354.

It is a happy number.

45320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 45319995 and 45320022.

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 31 ways as a sum of consecutive naturals, for example, 30597 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (1221750).

Almost surely, 2^45320040 is an apocalyptic number.

45320040 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 45320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78192000).

45320040 is an abundant number, since it is smaller than the sum of its proper divisors (111063960).

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

45320040 is a wasteful number, since it uses less digits than its factorization.

45320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45320040 is about 6732.0160427616. The cubic root of 45320040 is about 356.5305601539.

Adding to 45320040 its reverse (4002354), we get a palindrome (49322394).

The spelling of 45320040 in words is "forty-five million, three hundred twenty thousand, forty".