45177600 has 216 divisors, whose sum is σ = 161451472. Its totient is φ = 11059200.

The previous prime is 45177599. The next prime is 45177607. The reversal of 45177600 is 677154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45177607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249510 + ... + 249690.

Almost surely, 2^45177600 is an apocalyptic number.

45177600 is a gapful number since it is divisible by the number (40) 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 45177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80725736).

45177600 is an abundant number, since it is smaller than the sum of its proper divisors (116273872).

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

45177600 is a wasteful number, since it uses less digits than its factorization.

45177600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 45177600 is about 6721.4284196144. The cubic root of 45177600 is about 356.1566452832.

The spelling of 45177600 in words is "forty-five million, one hundred seventy-seven thousand, six hundred".