490714240 has 64 divisors (see below), whose sum is σ = 1201790520. Its totient is φ = 191488000.

The previous prime is 490714229. The next prime is 490714241. The reversal of 490714240 is 42417094.

It can be written as a sum of positive squares in 4 ways, for example, as 177848896 + 312865344 = 13336^2 + 17688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (490714241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16890 + ... + 35590.

Almost surely, 2^490714240 is an apocalyptic number.

490714240 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 490714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600895260).

490714240 is an abundant number, since it is smaller than the sum of its proper divisors (711076280).

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

490714240 is a wasteful number, since it uses less digits than its factorization.

490714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 490714240 is about 22152.0707835633. The cubic root of 490714240 is about 788.7563833376.

The spelling of 490714240 in words is "four hundred ninety million, seven hundred fourteen thousand, two hundred forty".