285450026400 has 1440 divisors, whose sum is σ = 1366607531520. Its totient is φ = 56173824000.

The previous prime is 285450026387. The next prime is 285450026417. The reversal of 285450026400 is 4620054582.

It is a happy number.

285450026400 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 5 + 0 + 0 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94800895 + ... + 94803905.

It is an arithmetic number, because the mean of its divisors is an integer number (949033008).

Almost surely, 2^285450026400 is an apocalyptic number.

285450026400 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 285450026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683303765760).

285450026400 is an abundant number, since it is smaller than the sum of its proper divisors (1081157505120).

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

285450026400 is a wasteful number, since it uses less digits than its factorization.

285450026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 285450026400 in words is "two hundred eighty-five billion, four hundred fifty million, twenty-six thousand, four hundred".