4688490240 has 432 divisors, whose sum is σ = 18906084288. Its totient is φ = 1050476544.

The previous prime is 4688490229. The next prime is 4688490253. The reversal of 4688490240 is 420948864.

4688490240 is a `hidden beast` number, since 46 + 88 + 490 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273372 + ... + 4274468.

It is an arithmetic number, because the mean of its divisors is an integer number (43764084).

Almost surely, 2^4688490240 is an apocalyptic number.

4688490240 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 4688490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453042144).

4688490240 is an abundant number, since it is smaller than the sum of its proper divisors (14217594048).

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

4688490240 is a wasteful number, since it uses less digits than its factorization.

4688490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4688490240 is about 68472.5509967315. The cubic root of 4688490240 is about 1673.7002156695.

The spelling of 4688490240 in words is "four billion, six hundred eighty-eight million, four hundred ninety thousand, two hundred forty".