4648458240 has 768 divisors, whose sum is σ = 18681062400. Its totient is φ = 1089994752.

The previous prime is 4648458233. The next prime is 4648458293. The reversal of 4648458240 is 428548464.

4648458240 is a `hidden beast` number, since 4 + 64 + 8 + 4 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×4648458240³ (a number of 30 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 108103659 + ... + 108103701.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 2^4648458240 is an apocalyptic number.

4648458240 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 4648458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340531200).

4648458240 is an abundant number, since it is smaller than the sum of its proper divisors (14032604160).

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

4648458240 is a wasteful number, since it uses less digits than its factorization.

4648458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 4648458240 is about 68179.6028149182. The cubic root of 4648458240 is about 1668.9230437899.

The spelling of 4648458240 in words is "four billion, six hundred forty-eight million, four hundred fifty-eight thousand, two hundred forty".