6049238400 has 576 divisors, whose sum is σ = 22789166400. Its totient is φ = 1526169600.

The previous prime is 6049238399. The next prime is 6049238477. The reversal of 6049238400 is 48329406.

It is a happy number.

6049238400 is a `hidden beast` number, since 604 + 9 + 2 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55497546 + ... + 55497654.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^6049238400 is an apocalyptic number.

6049238400 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 6049238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394583200).

6049238400 is an abundant number, since it is smaller than the sum of its proper divisors (16739928000).

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

6049238400 is a wasteful number, since it uses less digits than its factorization.

6049238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6049238400 is about 77776.8500262128. The cubic root of 6049238400 is about 1822.0777301870.

The spelling of 6049238400 in words is "six billion, forty-nine million, two hundred thirty-eight thousand, four hundred".