283620400 has 60 divisors (see below), whose sum is σ = 778748272. Its totient is φ = 97240320.

The previous prime is 283620397. The next prime is 283620409. The reversal of 283620400 is 4026382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (283620409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47847 + ... + 53446.

Almost surely, 2^283620400 is an apocalyptic number.

283620400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283620400 is an abundant number, since it is smaller than the sum of its proper divisors (495127872).

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

283620400 is a wasteful number, since it uses less digits than its factorization.

283620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101318 (or 101307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 283620400 is about 16841.0332224600. The cubic root of 283620400 is about 657.0208550178.

Adding to 283620400 its reverse (4026382), we get a palindrome (287646782).

The spelling of 283620400 in words is "two hundred eighty-three million, six hundred twenty thousand, four hundred".