60304046400 has 1176 divisors, whose sum is σ = 247964196984. Its totient is φ = 14332723200.

The previous prime is 60304046393. The next prime is 60304046417. The reversal of 60304046400 is 464040306.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44717023296 + 15587023104 = 211464^2 + 124848^2 .

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 167 ways as a sum of consecutive naturals, for example, 621691152 + ... + 621691248.

It is an arithmetic number, because the mean of its divisors is an integer number (210853909).

Almost surely, 2^60304046400 is an apocalyptic number.

60304046400 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 60304046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123982098492).

60304046400 is an abundant number, since it is smaller than the sum of its proper divisors (187660150584).

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

60304046400 is a wasteful number, since it uses less digits than its factorization.

60304046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 60304046400 its reverse (464040306), we get a palindrome (60768086706).

The spelling of 60304046400 in words is "sixty billion, three hundred four million, forty-six thousand, four hundred".