45700200 has 480 divisors, whose sum is σ = 201653760. Its totient is φ = 9331200.

The previous prime is 45700189. The next prime is 45700211. The reversal of 45700200 is 200754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45700189) and next prime (45700211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1474185 + ... + 1474215.

It is an arithmetic number, because the mean of its divisors is an integer number (420112).

Almost surely, 2^45700200 is an apocalyptic number.

45700200 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 45700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

45700200 is an abundant number, since it is smaller than the sum of its proper divisors (155953560).

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

45700200 is a wasteful number, since it uses less digits than its factorization.

45700200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 45700200 is about 6760.1923049570. The cubic root of 45700200 is about 357.5246857292.

Adding to 45700200 its reverse (200754), we get a palindrome (45900954).

The spelling of 45700200 in words is "forty-five million, seven hundred thousand, two hundred".