489779206502400 has 720 divisors, whose sum is σ = 1892909382764400. Its totient is φ = 124929164574720.

The previous prime is 489779206502387. The next prime is 489779206502419. The reversal of 489779206502400 is 4205602977984.

489779206502400 is a `hidden beast` number, since 4 + 8 + 97 + 7 + 92 + 0 + 6 + 50 + 2 + 400 = 666.

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

It is a super-2 number, since 2×489779206502400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92818236 + ... + 97952964.

It is an arithmetic number, because the mean of its divisors is an integer number (2629040809395).

Almost surely, 2^{489779206502400} is an apocalyptic number.

489779206502400 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 489779206502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946454691382200).

489779206502400 is an abundant number, since it is smaller than the sum of its proper divisors (1403130176262000).

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

489779206502400 is a wasteful number, since it uses less digits than its factorization.

489779206502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134796 (or 5134762 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 489779206502400 in words is "four hundred eighty-nine trillion, seven hundred seventy-nine billion, two hundred six million, five hundred two thousand, four hundred".