4833906480 has 360 divisors, whose sum is σ = 18581904432. Its totient is φ = 1119264768.

The previous prime is 4833906479. The next prime is 4833906491. The reversal of 4833906480 is 846093384.

4833906480 is a `hidden beast` number, since 4 + 83 + 3 + 90 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×4833906480³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704147 + ... + 2705933.

Almost surely, 2^4833906480 is an apocalyptic number.

4833906480 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 4833906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290952216).

4833906480 is an abundant number, since it is smaller than the sum of its proper divisors (13747997952).

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

4833906480 is a wasteful number, since it uses less digits than its factorization.

4833906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4833906480 is about 69526.3006350834. The cubic root of 4833906480 is about 1690.8279360035.

The spelling of 4833906480 in words is "four billion, eight hundred thirty-three million, nine hundred six thousand, four hundred eighty".