20070400 has 135 divisors (see below), whose sum is σ = 57899289. Its totient is φ = 6881280.

The previous prime is 20070397. The next prime is 20070433. The reversal of 20070400 is 407002.

The square root of 20070400 is 4480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 12845056 = 2688^2 + 3584^2 .

It is a super-3 number, since 3×20070400³ (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2867197 + ... + 2867203.

Almost surely, 2^20070400 is an apocalyptic number.

20070400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20070400 is the 4480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20070400

20070400 is an abundant number, since it is smaller than the sum of its proper divisors (37828889).

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

20070400 is an frugal number, since it uses more digits than its factorization.

20070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The cubic root of 20070400 is about 271.7598803587.

Adding to 20070400 its reverse (407002), we get a palindrome (20477402).

The spelling of 20070400 in words is "twenty million, seventy thousand, four hundred".