45535776 has 192 divisors, whose sum is σ = 146313216. Its totient is φ = 12211200.

The previous prime is 45535759. The next prime is 45535783. The reversal of 45535776 is 67753554.

Its product of digits (441000) is a multiple of the sum of its prime factors (175).

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, 425515 + ... + 425621.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^45535776 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 45535776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

45535776 is an abundant number, since it is smaller than the sum of its proper divisors (100777440).

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

45535776 is a wasteful number, since it uses less digits than its factorization.

45535776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 45535776 is about 6748.0201540896. The cubic root of 45535776 is about 357.0953930676.

The spelling of 45535776 in words is "forty-five million, five hundred thirty-five thousand, seven hundred seventy-six".