45476800 has 84 divisors (see below), whose sum is σ = 114676936. Its totient is φ = 17740800.

The previous prime is 45476791. The next prime is 45476803. The reversal of 45476800 is 867454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45476803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68470 + ... + 69130.

Almost surely, 2^45476800 is an apocalyptic number.

45476800 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 45476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57338468).

45476800 is an abundant number, since it is smaller than the sum of its proper divisors (69200136).

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

45476800 is a wasteful number, since it uses less digits than its factorization.

45476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45476800 is about 6743.6488639312. The cubic root of 45476800 is about 356.9411615429.

The spelling of 45476800 in words is "forty-five million, four hundred seventy-six thousand, eight hundred".