490431840 has 96 divisors (see below), whose sum is σ = 1577802240. Its totient is φ = 127993344.

The previous prime is 490431839. The next prime is 490431841. The reversal of 490431840 is 48134094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490431839) and next prime (490431841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490431841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691 + ... + 33429.

It is an arithmetic number, because the mean of its divisors is an integer number (16435440).

Almost surely, 2^490431840 is an apocalyptic number.

490431840 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 490431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788901120).

490431840 is an abundant number, since it is smaller than the sum of its proper divisors (1087370400).

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

490431840 is a wasteful number, since it uses less digits than its factorization.

490431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21804 (or 21796 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 490431840 is about 22145.6957443202. The cubic root of 490431840 is about 788.6050477760.

The spelling of 490431840 in words is "four hundred ninety million, four hundred thirty-one thousand, eight hundred forty".