490047840 has 96 divisors (see below), whose sum is σ = 1715182560. Its totient is φ = 130678272.

The previous prime is 490047839. The next prime is 490047847. The reversal of 490047840 is 48740094.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 490047795 and 490047804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490047847) by changing a digit.

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, 52399 + ... + 61038.

It is an arithmetic number, because the mean of its divisors is an integer number (17866485).

Almost surely, 2^490047840 is an apocalyptic number.

490047840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490047840 is an abundant number, since it is smaller than the sum of its proper divisors (1225134720).

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

490047840 is a wasteful number, since it uses less digits than its factorization.

490047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113461 (or 113447 counting only the distinct ones).

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

The square root of 490047840 is about 22137.0241902565. The cubic root of 490047840 is about 788.3991724749.

The spelling of 490047840 in words is "four hundred ninety million, forty-seven thousand, eight hundred forty".