45428200 has 48 divisors (see below), whose sum is σ = 106248780. Its totient is φ = 18063360.

The previous prime is 45428191. The next prime is 45428209. The reversal of 45428200 is 282454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45428191) and next prime (45428209).

It can be written as a sum of positive squares in 6 ways, for example, as 36796356 + 8631844 = 6066^2 + 2938^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45428209) 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, 38824 + ... + 39976.

Almost surely, 2^45428200 is an apocalyptic number.

45428200 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 45428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53124390).

45428200 is an abundant number, since it is smaller than the sum of its proper divisors (60820580).

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

45428200 is a wasteful number, since it uses less digits than its factorization.

45428200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 45428200 is about 6740.0445102388. The cubic root of 45428200 is about 356.8139646448.

The spelling of 45428200 in words is "forty-five million, four hundred twenty-eight thousand, two hundred".