490014624 has 96 divisors (see below), whose sum is σ = 1451701440. Its totient is φ = 143360000.

The previous prime is 490014619. The next prime is 490014659. The reversal of 490014624 is 426410094.

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

It is a super-2 number, since 2×490014624² = 480228663467722752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 490014591 and 490014600.

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 15 ways as a sum of consecutive naturals, for example, 22624 + ... + 38624.

It is an arithmetic number, because the mean of its divisors is an integer number (15121890).

Almost surely, 2^490014624 is an apocalyptic number.

490014624 is a gapful number since it is divisible by the number (44) 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 490014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725850720).

490014624 is an abundant number, since it is smaller than the sum of its proper divisors (961686816).

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

490014624 is a wasteful number, since it uses less digits than its factorization.

490014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 16046 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 490014624 is about 22136.2739412034. The cubic root of 490014624 is about 788.3813592082.

The spelling of 490014624 in words is "four hundred ninety million, fourteen thousand, six hundred twenty-four".