45840816 has 200 divisors, whose sum is σ = 157481984. Its totient is φ = 12597120.

The previous prime is 45840811. The next prime is 45840827. The reversal of 45840816 is 61804854.

45840816 = 1201² + 1202² + ... + 1231².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45840811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281151 + ... + 281313.

Almost surely, 2^45840816 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 45840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78740992).

45840816 is an abundant number, since it is smaller than the sum of its proper divisors (111641168).

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

45840816 is a wasteful number, since it uses less digits than its factorization.

45840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45840816 is about 6770.5846128676. The cubic root of 45840816 is about 357.8910022618.

It can be divided in two parts, 45840 and 816, that added together give a 6-th power (46656 = 6⁶).

The spelling of 45840816 in words is "forty-five million, eight hundred forty thousand, eight hundred sixteen".