490470512896 has 405 divisors, whose sum is σ = 1268014439349. Its totient is φ = 188788174848.

The previous prime is 490470512843. The next prime is 490470513041. The reversal of 490470512896 is 698215074094.

490470512896 = 1³ + 2³ + ... + 1183³.

The square root of 490470512896 is 700336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 394082617600 + 96387895296 = 627760^2 + 310464^2 .

It is a super-2 number, since 2×490470512896² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13255959790 + ... + 13255959826.

Almost surely, 2^490470512896 is an apocalyptic number.

490470512896 is the 700336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490470512896

490470512896 is an abundant number, since it is smaller than the sum of its proper divisors (777543926453).

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

490470512896 is an frugal number, since it uses more digits than its factorization.

490470512896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 490470512896 in words is "four hundred ninety billion, four hundred seventy million, five hundred twelve thousand, eight hundred ninety-six".