490584864 has 288 divisors, whose sum is σ = 1723680000. Its totient is φ = 120476160.

The previous prime is 490584847. The next prime is 490584877. The reversal of 490584864 is 468485094.

It is a super-3 number, since 3×490584864³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982887 + ... + 983385.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^490584864 is an apocalyptic number.

490584864 is a gapful number since it is divisible by the number (44) 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 490584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840000).

490584864 is an abundant number, since it is smaller than the sum of its proper divisors (1233095136).

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

490584864 is a wasteful number, since it uses less digits than its factorization.

490584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 490584864 is about 22149.1504126005. The cubic root of 490584864 is about 788.6870591384.

The spelling of 490584864 in words is "four hundred ninety million, five hundred eighty-four thousand, eight hundred sixty-four".