45200800 has 36 divisors (see below), whose sum is σ = 110348406. Its totient is φ = 18080000.

The previous prime is 45200777. The next prime is 45200809. The reversal of 45200800 is 800254.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25522704 + 19678096 = 5052^2 + 4436^2 .

It is a super-2 number, since 2×45200800² = 4086224641280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45200809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27451 + ... + 29050.

Almost surely, 2^45200800 is an apocalyptic number.

45200800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45200800 is an abundant number, since it is smaller than the sum of its proper divisors (65147606).

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

45200800 is a wasteful number, since it uses less digits than its factorization.

45200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56521 (or 56508 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 45200800 is about 6723.1540217371. The cubic root of 45200800 is about 356.2176004186.

The spelling of 45200800 in words is "forty-five million, two hundred thousand, eight hundred".