45782900 has 18 divisors (see below), whose sum is σ = 99349110. Its totient is φ = 18313120.

The previous prime is 45782861. The next prime is 45782941. The reversal of 45782900 is 928754.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12096484 + 33686416 = 3478^2 + 5804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228815 + ... + 229014.

It is an arithmetic number, because the mean of its divisors is an integer number (5519395).

Almost surely, 2^45782900 is an apocalyptic number.

It is an amenable number.

45782900 is an abundant number, since it is smaller than the sum of its proper divisors (53566210).

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

45782900 is a wasteful number, since it uses less digits than its factorization.

45782900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457843 (or 457836 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 45782900 is about 6766.3062301377. The cubic root of 45782900 is about 357.7402170560.

The spelling of 45782900 in words is "forty-five million, seven hundred eighty-two thousand, nine hundred".