4626456000 has 224 divisors, whose sum is σ = 15635313408. Its totient is φ = 1204761600.

The previous prime is 4626455989. The next prime is 4626456013. The reversal of 4626456000 is 6546264.

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 31 ways as a sum of consecutive naturals, for example, 1029759 + ... + 1034241.

Almost surely, 2^4626456000 is an apocalyptic number.

4626456000 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 4626456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817656704).

4626456000 is an abundant number, since it is smaller than the sum of its proper divisors (11008857408).

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

4626456000 is a wasteful number, since it uses less digits than its factorization.

4626456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4626456000 is about 68018.0564262167. The cubic root of 4626456000 is about 1666.2857440565.

The spelling of 4626456000 in words is "four billion, six hundred twenty-six million, four hundred fifty-six thousand".