490740480 has 216 divisors, whose sum is σ = 1740997440. Its totient is φ = 127549440.

The previous prime is 490740469. The next prime is 490740491. The reversal of 490740480 is 84047094.

It is an interprime number because it is at equal distance from previous prime (490740469) and next prime (490740491).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471801 + ... + 472839.

Almost surely, 2^490740480 is an apocalyptic number.

490740480 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 490740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870498720).

490740480 is an abundant number, since it is smaller than the sum of its proper divisors (1250256960).

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

490740480 is a wasteful number, since it uses less digits than its factorization.

490740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 490740480 is about 22152.6630453316. The cubic root of 490740480 is about 788.7704421638.

The spelling of 490740480 in words is "four hundred ninety million, seven hundred forty thousand, four hundred eighty".