6221048400 has 960 divisors, whose sum is σ = 27455385600. Its totient is φ = 1306368000.

The previous prime is 6221048347. The next prime is 6221048467. The reversal of 6221048400 is 48401226.

6221048400 is a `hidden beast` number, since 6 + 2 + 210 + 48 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 87620365 + ... + 87620435.

It is an arithmetic number, because the mean of its divisors is an integer number (28599360).

Almost surely, 2^6221048400 is an apocalyptic number.

6221048400 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 6221048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727692800).

6221048400 is an abundant number, since it is smaller than the sum of its proper divisors (21234337200).

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

6221048400 is a wasteful number, since it uses less digits than its factorization.

6221048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6221048400 is about 78873.6229673774. The cubic root of 6221048400 is about 1839.1671167478.

Adding to 6221048400 its reverse (48401226), we get a palindrome (6269449626).

The spelling of 6221048400 in words is "six billion, two hundred twenty-one million, forty-eight thousand, four hundred".