490627821600 has 360 divisors, whose sum is σ = 2044829622528. Its totient is φ = 112143398400.

The previous prime is 490627821589. The next prime is 490627821611. The reversal of 490627821600 is 6128726094.

It is a happy number.

490627821600 is a `hidden beast` number, since 4 + 9 + 0 + 627 + 8 + 2 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490627821589) and next prime (490627821611).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×490627821600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87216 + ... + 994415.

Almost surely, 2^490627821600 is an apocalyptic number.

490627821600 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 490627821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022414811264).

490627821600 is an abundant number, since it is smaller than the sum of its proper divisors (1554201800928).

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

490627821600 is a wasteful number, since it uses less digits than its factorization.

490627821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081670 (or 1081648 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 490627821600 in words is "four hundred ninety billion, six hundred twenty-seven million, eight hundred twenty-one thousand, six hundred".