4520946000 has 320 divisors, whose sum is σ = 15599001600. Its totient is φ = 1122508800.

The previous prime is 4520945993. The next prime is 4520946019. The reversal of 4520946000 is 6490254.

It is a super-3 number, since 3×4520946000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12953826 + ... + 12954174.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^4520946000 is an apocalyptic number.

4520946000 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 4520946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

4520946000 is an abundant number, since it is smaller than the sum of its proper divisors (11078055600).

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

4520946000 is a wasteful number, since it uses less digits than its factorization.

4520946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4520946000 is about 67237.9803384962. The cubic root of 4520946000 is about 1653.5212220712.

The spelling of 4520946000 in words is "four billion, five hundred twenty million, nine hundred forty-six thousand".