45706200 has 96 divisors (see below), whose sum is σ = 150057360. Its totient is φ = 11468800.

The previous prime is 45706189. The next prime is 45706201. The reversal of 45706200 is 260754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45706201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7960 + ... + 12440.

Almost surely, 2^45706200 is an apocalyptic number.

45706200 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 45706200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75028680).

45706200 is an abundant number, since it is smaller than the sum of its proper divisors (104351160).

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

45706200 is a wasteful number, since it uses less digits than its factorization.

45706200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45706200 is about 6760.6360647501. The cubic root of 45706200 is about 357.5403315706.

Adding to 45706200 its reverse (260754), we get a palindrome (45966954).

The spelling of 45706200 in words is "forty-five million, seven hundred six thousand, two hundred".