490117440 has 224 divisors, whose sum is σ = 1647968256. Its totient is φ = 123217920.

The previous prime is 490117427. The next prime is 490117489. The reversal of 490117440 is 44711094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 490117398 and 490117407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1279489 + ... + 1279871.

Almost surely, 2^490117440 is an apocalyptic number.

490117440 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 490117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823984128).

490117440 is an abundant number, since it is smaller than the sum of its proper divisors (1157850816).

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

490117440 is a wasteful number, since it uses less digits than its factorization.

490117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 490117440 is about 22138.5961614552. The cubic root of 490117440 is about 788.4364953513.

The spelling of 490117440 in words is "four hundred ninety million, one hundred seventeen thousand, four hundred forty".