490014720 has 288 divisors, whose sum is σ = 1833413400. Its totient is φ = 120324096.

The previous prime is 490014709. The next prime is 490014743. The reversal of 490014720 is 27410094.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 410305536 + 79709184 = 20256^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×490014720² = 480228851633356800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1197876 + ... + 1198284.

Almost surely, 2^490014720 is an apocalyptic number.

490014720 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 490014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916706700).

490014720 is an abundant number, since it is smaller than the sum of its proper divisors (1343398680).

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

490014720 is a wasteful number, since it uses less digits than its factorization.

490014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 490014720 is about 22136.2761095899. The cubic root of 490014720 is about 788.3814106928.

The spelling of 490014720 in words is "four hundred ninety million, fourteen thousand, seven hundred twenty".