490917888 has 208 divisors, whose sum is σ = 1525491840. Its totient is φ = 155713536.

The previous prime is 490917883. The next prime is 490917907. The reversal of 490917888 is 888719094.

490917888 is a `hidden beast` number, since 490 + 9 + 1 + 78 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490917883) 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, 2543520 + ... + 2543712.

Almost surely, 2^490917888 is an apocalyptic number.

490917888 is a gapful number since it is divisible by the number (48) 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 490917888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762745920).

490917888 is an abundant number, since it is smaller than the sum of its proper divisors (1034573952).

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

490917888 is a wasteful number, since it uses less digits than its factorization.

490917888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 490917888 is about 22156.6668973472. Note that the first 3 decimals coincide. The cubic root of 490917888 is about 788.8654803990.

The spelling of 490917888 in words is "four hundred ninety million, nine hundred seventeen thousand, eight hundred eighty-eight".