4652398080 has 640 divisors, whose sum is σ = 18738086400. Its totient is φ = 1083801600.

The previous prime is 4652398073. The next prime is 4652398147. The reversal of 4652398080 is 808932564.

4652398080 is a `hidden beast` number, since 46 + 523 + 9 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 22049175 + ... + 22049385.

It is an arithmetic number, because the mean of its divisors is an integer number (29278260).

Almost surely, 2^4652398080 is an apocalyptic number.

4652398080 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 4652398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369043200).

4652398080 is an abundant number, since it is smaller than the sum of its proper divisors (14085688320).

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

4652398080 is a wasteful number, since it uses less digits than its factorization.

4652398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4652398080 is about 68208.4897941598. The cubic root of 4652398080 is about 1669.3944139126.

The spelling of 4652398080 in words is "four billion, six hundred fifty-two million, three hundred ninety-eight thousand, eighty".