486774990374400 has 3360 divisors, whose sum is σ = 2356466886341568. Its totient is φ = 96659885260800.

The previous prime is 486774990374389. The next prime is 486774990374411. The reversal of 486774990374400 is 4473099477684.

486774990374400 is a `hidden beast` number, since 4 + 8 + 67 + 7 + 4 + 9 + 90 + 3 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (486774990374389) and next prime (486774990374411).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14435349540 + ... + 14435383260.

Almost surely, 2^{486774990374400} is an apocalyptic number.

486774990374400 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 486774990374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178233443170784).

486774990374400 is an abundant number, since it is smaller than the sum of its proper divisors (1869691895967168).

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

486774990374400 is a wasteful number, since it uses less digits than its factorization.

486774990374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33804 (or 33768 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 486774990374400 in words is "four hundred eighty-six trillion, seven hundred seventy-four billion, nine hundred ninety million, three hundred seventy-four thousand, four hundred".