45210600 has 72 divisors (see below), whose sum is σ = 151838310. Its totient is φ = 12055680.

The previous prime is 45210593. The next prime is 45210601. The reversal of 45210600 is 601254.

45210600 = 83² + 84² + ... + 514².

It is a happy number.

45210600 is a `hidden beast` number, since 4 + 52 + 10 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 35212356 + 9998244 = 5934^2 + 3162^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (45210601) 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, 10759 + ... + 14358.

Almost surely, 2^45210600 is an apocalyptic number.

45210600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45210600 is an abundant number, since it is smaller than the sum of its proper divisors (106627710).

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

45210600 is a wasteful number, since it uses less digits than its factorization.

45210600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25139 (or 25127 counting only the distinct ones).

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

The square root of 45210600 is about 6723.8828068312. The cubic root of 45210600 is about 356.2433424425.

Adding to 45210600 its reverse (601254), we get a palindrome (45811854).

The spelling of 45210600 in words is "forty-five million, two hundred ten thousand, six hundred".