283666325400 has 480 divisors, whose sum is σ = 1039237056000. Its totient is φ = 71513383680.

The previous prime is 283666325389. The next prime is 283666325401. The reversal of 283666325400 is 4523666382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283666325401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 273018081 + ... + 273019119.

It is an arithmetic number, because the mean of its divisors is an integer number (2165077200).

Almost surely, 2^283666325400 is an apocalyptic number.

283666325400 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 283666325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519618528000).

283666325400 is an abundant number, since it is smaller than the sum of its proper divisors (755570730600).

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

283666325400 is a wasteful number, since it uses less digits than its factorization.

283666325400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 283666325400 in words is "two hundred eighty-three billion, six hundred sixty-six million, three hundred twenty-five thousand, four hundred".