45866304 has 224 divisors, whose sum is σ = 156057600. Its totient is φ = 13063680.

The previous prime is 45866297. The next prime is 45866309. The reversal of 45866304 is 40366854.

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 (45866309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361089 + ... + 361215.

Almost surely, 2^45866304 is an apocalyptic number.

45866304 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 45866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78028800).

45866304 is an abundant number, since it is smaller than the sum of its proper divisors (110191296).

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

45866304 is a wasteful number, since it uses less digits than its factorization.

45866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45866304 is about 6772.4666112134. The cubic root of 45866304 is about 357.9573204221.

The spelling of 45866304 in words is "forty-five million, eight hundred sixty-six thousand, three hundred four".