283142400 has 108 divisors (see below), whose sum is σ = 934492272. Its totient is φ = 75499520.

The previous prime is 283142393. The next prime is 283142407. The reversal of 283142400 is 4241382.

It is an interprime number because it is at equal distance from previous prime (283142393) and next prime (283142407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (283142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11827 + ... + 26573.

Almost surely, 2^283142400 is an apocalyptic number.

283142400 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 283142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467246136).

283142400 is an abundant number, since it is smaller than the sum of its proper divisors (651349872).

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

283142400 is a wasteful number, since it uses less digits than its factorization.

283142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14776 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 283142400 is about 16826.8357096633. The cubic root of 283142400 is about 656.6515438239.

Adding to 283142400 its reverse (4241382), we get a palindrome (287383782).

The spelling of 283142400 in words is "two hundred eighty-three million, one hundred forty-two thousand, four hundred".