45577350 has 288 divisors, whose sum is σ = 160302240. Its totient is φ = 9434880.

The previous prime is 45577349. The next prime is 45577373. The reversal of 45577350 is 5377554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 859924 + ... + 859976.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^45577350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45577350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

45577350 is an abundant number, since it is smaller than the sum of its proper divisors (114724890).

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

45577350 is a wasteful number, since it uses less digits than its factorization.

45577350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 45577350 is about 6751.0999103850. The cubic root of 45577350 is about 357.2040356148.

The spelling of 45577350 in words is "forty-five million, five hundred seventy-seven thousand, three hundred fifty".