4654676208 has 480 divisors, whose sum is σ = 15958978560. Its totient is φ = 1157345280.

The previous prime is 4654676179. The next prime is 4654676219. The reversal of 4654676208 is 8026764564.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58919913 + ... + 58919991.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^4654676208 is an apocalyptic number.

4654676208 is a gapful number since it is divisible by the number (48) 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 4654676208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4654676208 is an abundant number, since it is smaller than the sum of its proper divisors (11304302352).

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

4654676208 is a wasteful number, since it uses less digits than its factorization.

4654676208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4654676208 is about 68225.1874896654. The cubic root of 4654676208 is about 1669.6668521627. Note that the first 3 decimals are identical.

The spelling of 4654676208 in words is "four billion, six hundred fifty-four million, six hundred seventy-six thousand, two hundred eight".