45311600 has 30 divisors (see below), whose sum is σ = 108862080. Its totient is φ = 18124480.

The previous prime is 45311573. The next prime is 45311603. The reversal of 45311600 is 611354.

45311600 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45311603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 56240 + ... + 57039.

It is an arithmetic number, because the mean of its divisors is an integer number (3628736).

Almost surely, 2^45311600 is an apocalyptic number.

45311600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45311600 is an abundant number, since it is smaller than the sum of its proper divisors (63550480).

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

45311600 is a wasteful number, since it uses less digits than its factorization.

45311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113297 (or 113286 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 45311600 is about 6731.3891582644. The cubic root of 45311600 is about 356.5084264227.

Adding to 45311600 its reverse (611354), we get a palindrome (45922954).

The spelling of 45311600 in words is "forty-five million, three hundred eleven thousand, six hundred".