6285414000 has 160 divisors (see below), whose sum is σ = 20313057024. Its totient is φ = 1672070400.

The previous prime is 6285413993. The next prime is 6285414013. The reversal of 6285414000 is 4145826.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3136999 + ... + 3139001.

Almost surely, 2^6285414000 is an apocalyptic number.

6285414000 is a gapful number since it is divisible by the number (60) 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 6285414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156528512).

6285414000 is an abundant number, since it is smaller than the sum of its proper divisors (14027643024).

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

6285414000 is a wasteful number, since it uses less digits than its factorization.

6285414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 6285414000 is about 79280.6029240444. The cubic root of 6285414000 is about 1845.4882998936.

Adding to 6285414000 its reverse (4145826), we get a palindrome (6289559826).

The spelling of 6285414000 in words is "six billion, two hundred eighty-five million, four hundred fourteen thousand".