486993830400 has 3240 divisors, whose sum is σ = 2400315869952. Its totient is φ = 93671424000.

The previous prime is 486993830383. The next prime is 486993830461. The reversal of 486993830400 is 4038399684.

It is a happy number.

486993830400 is a `hidden beast` number, since 486 + 9 + 93 + 8 + 30 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 15709478385 + ... + 15709478415.

Almost surely, 2^486993830400 is an apocalyptic number.

486993830400 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 486993830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200157934976).

486993830400 is an abundant number, since it is smaller than the sum of its proper divisors (1913322039552).

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

486993830400 is a wasteful number, since it uses less digits than its factorization.

486993830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 486993830400 in words is "four hundred eighty-six billion, nine hundred ninety-three million, eight hundred thirty thousand, four hundred".