45816000 has 224 divisors, whose sum is σ = 159763968. Its totient is φ = 11545600.

The previous prime is 45815999. The next prime is 45816013. The reversal of 45816000 is 61854.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551959 + ... + 552041.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^45816000 is an apocalyptic number.

45816000 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 45816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

45816000 is an abundant number, since it is smaller than the sum of its proper divisors (113947968).

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

45816000 is a wasteful number, since it uses less digits than its factorization.

45816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45816000 is about 6768.7517313017. The cubic root of 45816000 is about 357.8264089799.

Adding to 45816000 its reverse (61854), we get a palindrome (45877854).

The spelling of 45816000 in words is "forty-five million, eight hundred sixteen thousand".