6298406400 has 960 divisors, whose sum is σ = 25914341376. Its totient is φ = 1327104000.

The previous prime is 6298406393. The next prime is 6298406419. The reversal of 6298406400 is 46048926.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170227182 + ... + 170227218.

Almost surely, 2^6298406400 is an apocalyptic number.

6298406400 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 6298406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957170688).

6298406400 is an abundant number, since it is smaller than the sum of its proper divisors (19615934976).

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

6298406400 is a wasteful number, since it uses less digits than its factorization.

6298406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6298406400 is about 79362.4999606237. The cubic root of 6298406400 is about 1846.7590101543.

The spelling of 6298406400 in words is "six billion, two hundred ninety-eight million, four hundred six thousand, four hundred".