20952400 has 90 divisors (see below), whose sum is σ = 58611390. Its totient is φ = 7176960.

The previous prime is 20952377. The next prime is 20952401. The reversal of 20952400 is 425902.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 19820304 = 1064^2 + 4452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20952401) 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, 19066 + ... + 20134.

Almost surely, 2^20952400 is an apocalyptic number.

20952400 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 20952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29305695).

20952400 is an abundant number, since it is smaller than the sum of its proper divisors (37658990).

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

20952400 is a wasteful number, since it uses less digits than its factorization.

20952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 20952400 is about 4577.3791627961. The cubic root of 20952400 is about 275.6838078935.

The spelling of 20952400 in words is "twenty million, nine hundred fifty-two thousand, four hundred".