45707200 has 252 divisors, whose sum is σ = 145417032. Its totient is φ = 13977600.

The previous prime is 45707197. The next prime is 45707209. The reversal of 45707200 is 270754.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45707209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862374 + ... + 862426.

Almost surely, 2^45707200 is an apocalyptic number.

45707200 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 45707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72708516).

45707200 is an abundant number, since it is smaller than the sum of its proper divisors (99709832).

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

45707200 is a wasteful number, since it uses less digits than its factorization.

45707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 45707200 is about 6760.7100218838. The cubic root of 45707200 is about 357.5429390777.

Adding to 45707200 its reverse (270754), we get a palindrome (45977954).

The spelling of 45707200 in words is "forty-five million, seven hundred seven thousand, two hundred".