490866888758400 has 4608 divisors, whose sum is σ = 2347223368089600. Its totient is φ = 98304565248000.

The previous prime is 490866888758381. The next prime is 490866888758419. The reversal of 490866888758400 is 4857888668094.

490866888758400 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 6 + 6 + 88 + 87 + 58 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (490866888758381) and next prime (490866888758419).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 490866888758400.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 692336937246 + ... + 692336937954.

It is an arithmetic number, because the mean of its divisors is an integer number (509380071200).

Almost surely, 2^{490866888758400} is an apocalyptic number.

490866888758400 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 490866888758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173611684044800).

490866888758400 is an abundant number, since it is smaller than the sum of its proper divisors (1856356479331200).

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

490866888758400 is a wasteful number, since it uses less digits than its factorization.

490866888758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 490866888758400 in words is "four hundred ninety trillion, eight hundred sixty-six billion, eight hundred eighty-eight million, seven hundred fifty-eight thousand, four hundred".