490434560 has 208 divisors, whose sum is σ = 1472020992. Its totient is φ = 152371200.

The previous prime is 490434541. The next prime is 490434569. The reversal of 490434560 is 65434094.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 490434560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490434569) 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, 1576805 + ... + 1577115.

It is an arithmetic number, because the mean of its divisors is an integer number (7077024).

Almost surely, 2^490434560 is an apocalyptic number.

490434560 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 490434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736010496).

490434560 is an abundant number, since it is smaller than the sum of its proper divisors (981586432).

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

490434560 is a wasteful number, since it uses less digits than its factorization.

490434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 490434560 is about 22145.7571557172. The cubic root of 490434560 is about 788.6065056761.

The spelling of 490434560 in words is "four hundred ninety million, four hundred thirty-four thousand, five hundred sixty".