45779200 has 108 divisors (see below), whose sum is σ = 118617408. Its totient is φ = 17459200.

The previous prime is 45779183. The next prime is 45779243. The reversal of 45779200 is 297754.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147045 + ... + 147355.

Almost surely, 2^45779200 is an apocalyptic number.

45779200 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 45779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59308704).

45779200 is an abundant number, since it is smaller than the sum of its proper divisors (72838208).

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

45779200 is a wasteful number, since it uses less digits than its factorization.

45779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 45779200 is about 6766.0328110348. The cubic root of 45779200 is about 357.7305797281.

The spelling of 45779200 in words is "forty-five million, seven hundred seventy-nine thousand, two hundred".