45835776 has 240 divisors, whose sum is σ = 159588000. Its totient is φ = 12644352.

The previous prime is 45835759. The next prime is 45835781. The reversal of 45835776 is 67753854.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1580530 + ... + 1580558.

It is an arithmetic number, because the mean of its divisors is an integer number (664950).

Almost surely, 2^45835776 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 45835776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794000).

45835776 is an abundant number, since it is smaller than the sum of its proper divisors (113752224).

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

45835776 is an equidigital number, since it uses as much as digits as its factorization.

45835776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 45835776 is about 6770.2124043489. The cubic root of 45835776 is about 357.8778855904.

The spelling of 45835776 in words is "forty-five million, eight hundred thirty-five thousand, seven hundred seventy-six".