490976640 has 768 divisors, whose sum is σ = 2245501440. Its totient is φ = 99532800.

The previous prime is 490976593. The next prime is 490976659. The reversal of 490976640 is 46679094.

It is a super-2 number, since 2×490976640² = 482116122051379200, which contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11975020 + ... + 11975060.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^490976640 is an apocalyptic number.

490976640 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 490976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

490976640 is an abundant number, since it is smaller than the sum of its proper divisors (1754524800).

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

490976640 is a wasteful number, since it uses less digits than its factorization.

490976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 490976640 is about 22157.9926888696. The cubic root of 490976640 is about 788.8969490533.

The spelling of 490976640 in words is "four hundred ninety million, nine hundred seventy-six thousand, six hundred forty".