20282400 has 180 divisors, whose sum is σ = 74202282. Its totient is φ = 5391360.

The previous prime is 20282399. The next prime is 20282419. The reversal of 20282400 is 428202.

It can be written as a sum of positive squares in 3 ways, for example, as 8088336 + 12194064 = 2844^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20282400² = 822751499520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64644 + ... + 64956.

Almost surely, 2^20282400 is an apocalyptic number.

20282400 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 20282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37101141).

20282400 is an abundant number, since it is smaller than the sum of its proper divisors (53919882).

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

20282400 is a wasteful number, since it uses less digits than its factorization.

20282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

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

The square root of 20282400 is about 4503.5985611508. The cubic root of 20282400 is about 272.7133811106.

The spelling of 20282400 in words is "twenty million, two hundred eighty-two thousand, four hundred".