490577640 has 128 divisors (see below), whose sum is σ = 1687944960. Its totient is φ = 111734784.

The previous prime is 490577627. The next prime is 490577651. The reversal of 490577640 is 46775094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 490577592 and 490577601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282214 + ... + 283946.

It is an arithmetic number, because the mean of its divisors is an integer number (13187070).

Almost surely, 2^490577640 is an apocalyptic number.

490577640 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 490577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843972480).

490577640 is an abundant number, since it is smaller than the sum of its proper divisors (1197367320).

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

490577640 is a wasteful number, since it uses less digits than its factorization.

490577640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 490577640 is about 22148.9873357677. The cubic root of 490577640 is about 788.6831879065.

The spelling of 490577640 in words is "four hundred ninety million, five hundred seventy-seven thousand, six hundred forty".