20461200 has 180 divisors, whose sum is σ = 70806480. Its totient is φ = 5048320.

The previous prime is 20461193. The next prime is 20461223. The reversal of 20461200 is 216402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20461200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346771 + ... + 346829.

Almost surely, 2^20461200 is an apocalyptic number.

20461200 is a gapful number since it is divisible by the number (20) 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 20461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35403240).

20461200 is an abundant number, since it is smaller than the sum of its proper divisors (50345280).

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

20461200 is a wasteful number, since it uses less digits than its factorization.

20461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20461200 is about 4523.4057965210. The cubic root of 20461200 is about 273.5124082661.

Adding to 20461200 its reverse (216402), we get a palindrome (20677602).

The spelling of 20461200 in words is "twenty million, four hundred sixty-one thousand, two hundred".