4616490240 has 432 divisors, whose sum is σ = 17049412800. Its totient is φ = 1182781440.

The previous prime is 4616490181. The next prime is 4616490247. The reversal of 4616490240 is 420946164.

4616490240 is a `hidden beast` number, since 4 + 6 + 1 + 649 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 4616490195 and 4616490204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616490247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33212091 + ... + 33212229.

Almost surely, 2^4616490240 is an apocalyptic number.

4616490240 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 4616490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524706400).

4616490240 is an abundant number, since it is smaller than the sum of its proper divisors (12432922560).

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

4616490240 is a wasteful number, since it uses less digits than its factorization.

4616490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4616490240 is about 67944.7587382574. The cubic root of 4616490240 is about 1665.0884459144.

The spelling of 4616490240 in words is "four billion, six hundred sixteen million, four hundred ninety thousand, two hundred forty".