45200000 has 96 divisors (see below), whose sum is σ = 113547420. Its totient is φ = 17920000.

The previous prime is 45199967. The next prime is 45200003. The reversal of 45200000 is 254.

It can be written as a sum of positive squares in 6 ways, for example, as 17909824 + 27290176 = 4232^2 + 5224^2 .

It is not an unprimeable number, because it can be changed into a prime (45200003) 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, 399944 + ... + 400056.

Almost surely, 2^45200000 is an apocalyptic number.

45200000 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 45200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56773710).

45200000 is an abundant number, since it is smaller than the sum of its proper divisors (68347420).

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

45200000 is an frugal number, since it uses more digits than its factorization.

45200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 45200000 is about 6723.0945255886. The cubic root of 45200000 is about 356.2154988646.

Adding to 45200000 its reverse (254), we get a palindrome (45200254).

It can be divided in two parts, 45 and 200000, that multiplied together give a square (9000000 = 3000²).

The spelling of 45200000 in words is "forty-five million, two hundred thousand".