286244960400 has 1440 divisors, whose sum is σ = 1248682745856. Its totient is φ = 61585920000.

The previous prime is 286244960363. The next prime is 286244960423. The reversal of 286244960400 is 4069442682.

286244960400 is a `hidden beast` number, since 286 + 244 + 96 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 864788235 + ... + 864788565.

Almost surely, 2^286244960400 is an apocalyptic number.

286244960400 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 286244960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624341372928).

286244960400 is an abundant number, since it is smaller than the sum of its proper divisors (962437785456).

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

286244960400 is a wasteful number, since it uses less digits than its factorization.

286244960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 286244960400 in words is "two hundred eighty-six billion, two hundred forty-four million, nine hundred sixty thousand, four hundred".