20480400 has 90 divisors (see below), whose sum is σ = 71085170. Its totient is φ = 5460480.

The previous prime is 20480389. The next prime is 20480431. The reversal of 20480400 is 408402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5363856 + 15116544 = 2316^2 + 3888^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 756 + ... + 6444.

Almost surely, 2^20480400 is an apocalyptic number.

20480400 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 20480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35542585).

20480400 is an abundant number, since it is smaller than the sum of its proper divisors (50604770).

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

20480400 is a wasteful number, since it uses less digits than its factorization.

20480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20480400 is about 4525.5275935519. The cubic root of 20480400 is about 273.5979326816.

Adding to 20480400 its reverse (408402), we get a palindrome (20888802).

The spelling of 20480400 in words is "twenty million, four hundred eighty thousand, four hundred".