4613898240 has 512 divisors, whose sum is σ = 18874080000. Its totient is φ = 1047527424.

The previous prime is 4613898239. The next prime is 4613898241. The reversal of 4613898240 is 428983164.

It is a happy number.

4613898240 is a `hidden beast` number, since 4 + 613 + 8 + 9 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4613898239) and next prime (4613898241).

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613898241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965686 + ... + 30965834.

Almost surely, 2^4613898240 is an apocalyptic number.

4613898240 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 4613898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437040000).

4613898240 is an abundant number, since it is smaller than the sum of its proper divisors (14260181760).

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

4613898240 is an equidigital number, since it uses as much as digits as its factorization.

4613898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4613898240 is about 67925.6817411500. The cubic root of 4613898240 is about 1664.7767576675.

The spelling of 4613898240 in words is "four billion, six hundred thirteen million, eight hundred ninety-eight thousand, two hundred forty".