490917240 has 384 divisors, whose sum is σ = 1887494400. Its totient is φ = 112492800.

The previous prime is 490917239. The next prime is 490917247. The reversal of 490917240 is 42719094.

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 = 490917195 and 490917204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490917247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11416659 + ... + 11416701.

It is an arithmetic number, because the mean of its divisors is an integer number (4915350).

Almost surely, 2^490917240 is an apocalyptic number.

490917240 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 490917240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943747200).

490917240 is an abundant number, since it is smaller than the sum of its proper divisors (1396577160).

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

490917240 is a wasteful number, since it uses less digits than its factorization.

490917240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 490917240 is about 22156.6522742042. The cubic root of 490917240 is about 788.8651333042.

The spelling of 490917240 in words is "four hundred ninety million, nine hundred seventeen thousand, two hundred forty".