486263742224400 has 720 divisors, whose sum is σ = 1943563717675008. Its totient is φ = 110280794112000.

The previous prime is 486263742224339. The next prime is 486263742224411. The reversal of 486263742224400 is 4422247362684.

486263742224400 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 6 + 3 + 7 + 4 + 2 + 224 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7287983040 + ... + 7288049760.

Almost surely, 2^{486263742224400} is an apocalyptic number.

486263742224400 is a gapful number since it is divisible by the number (40) 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 486263742224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971781858837504).

486263742224400 is an abundant number, since it is smaller than the sum of its proper divisors (1457299975450608).

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

486263742224400 is a wasteful number, since it uses less digits than its factorization.

486263742224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69000 (or 68986 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 486263742224400 in words is "four hundred eighty-six trillion, two hundred sixty-three billion, seven hundred forty-two million, two hundred twenty-four thousand, four hundred".