490345920 has 448 divisors, whose sum is σ = 1901952000. Its totient is φ = 118444032.

The previous prime is 490345913. The next prime is 490345927. The reversal of 490345920 is 29543094.

It is an interprime number because it is at equal distance from previous prime (490345913) and next prime (490345927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490345927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4760589 + ... + 4760691.

Almost surely, 2^490345920 is an apocalyptic number.

490345920 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 490345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950976000).

490345920 is an abundant number, since it is smaller than the sum of its proper divisors (1411606080).

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

490345920 is a wasteful number, since it uses less digits than its factorization.

490345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 490345920 is about 22143.7557790001. The cubic root of 490345920 is about 788.5589925125.

The spelling of 490345920 in words is "four hundred ninety million, three hundred forty-five thousand, nine hundred twenty".