490127040 has 504 divisors, whose sum is σ = 1957821840. Its totient is φ = 112140288.

The previous prime is 490127023. The next prime is 490127041. The reversal of 490127040 is 40721094.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 490126995 and 490127013.

It is not an unprimeable number, because it can be changed into a prime (490127041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9247654 + ... + 9247706.

Almost surely, 2^490127040 is an apocalyptic number.

490127040 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 490127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978910920).

490127040 is an abundant number, since it is smaller than the sum of its proper divisors (1467694800).

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

490127040 is a wasteful number, since it uses less digits than its factorization.

490127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 490127040 is about 22138.8129763093. The cubic root of 490127040 is about 788.4416430569.

The spelling of 490127040 in words is "four hundred ninety million, one hundred twenty-seven thousand, forty".