286494062400 has 2016 divisors, whose sum is σ = 1357225632000. Its totient is φ = 58200145920.

The previous prime is 286494062399. The next prime is 286494062431. The reversal of 286494062400 is 4260494682.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

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, 798033421 + ... + 798033779.

It is an arithmetic number, because the mean of its divisors is an integer number (673227000).

Almost surely, 2^286494062400 is an apocalyptic number.

286494062400 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 286494062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678612816000).

286494062400 is an abundant number, since it is smaller than the sum of its proper divisors (1070731569600).

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

286494062400 is a wasteful number, since it uses less digits than its factorization.

286494062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

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

The spelling of 286494062400 in words is "two hundred eighty-six billion, four hundred ninety-four million, sixty-two thousand, four hundred".