6198449400 has 768 divisors, whose sum is σ = 26248320000. Its totient is φ = 1322956800.

The previous prime is 6198449399. The next prime is 6198449417. The reversal of 6198449400 is 49448916.

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 191 ways as a sum of consecutive naturals, for example, 17760426 + ... + 17760774.

It is an arithmetic number, because the mean of its divisors is an integer number (34177500).

Almost surely, 2^6198449400 is an apocalyptic number.

6198449400 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 6198449400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160000).

6198449400 is an abundant number, since it is smaller than the sum of its proper divisors (20049870600).

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

6198449400 is a wasteful number, since it uses less digits than its factorization.

6198449400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6198449400 is about 78730.2318045616. The cubic root of 6198449400 is about 1836.9373871048.

The spelling of 6198449400 in words is "six billion, one hundred ninety-eight million, four hundred forty-nine thousand, four hundred".