45061200 has 90 divisors (see below), whose sum is σ = 156387374. Its totient is φ = 12015360.

The previous prime is 45061193. The next prime is 45061201. The reversal of 45061200 is 216054.

It is a happy number.

45061200 is a `hidden beast` number, since 4 + 50 + 612 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11048976 + 34012224 = 3324^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2659 + ... + 9858.

Almost surely, 2^45061200 is an apocalyptic number.

45061200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45061200 is an abundant number, since it is smaller than the sum of its proper divisors (111326174).

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

45061200 is a wasteful number, since it uses less digits than its factorization.

45061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45061200 is about 6712.7639612905. The cubic root of 45061200 is about 355.8505032359.

Adding to 45061200 its reverse (216054), we get a palindrome (45277254).

The spelling of 45061200 in words is "forty-five million, sixty-one thousand, two hundred".