45686784 has 168 divisors, whose sum is σ = 143908272. Its totient is φ = 12779520.

The previous prime is 45686779. The next prime is 45686789. The reversal of 45686784 is 48768654.

It is an interprime number because it is at equal distance from previous prime (45686779) and next prime (45686789).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45686789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3514362 + ... + 3514374.

Almost surely, 2^45686784 is an apocalyptic number.

45686784 is a gapful number since it is divisible by the number (44) 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 45686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71954136).

45686784 is an abundant number, since it is smaller than the sum of its proper divisors (98221488).

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

45686784 is a wasteful number, since it uses less digits than its factorization.

45686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 45686784 is about 6759.1999526571. The cubic root of 45686784 is about 357.4896966728.

The spelling of 45686784 in words is "forty-five million, six hundred eighty-six thousand, seven hundred eighty-four".