4650456000 has 224 divisors, whose sum is σ = 15773838912. Its totient is φ = 1206374400.

The previous prime is 4650455981. The next prime is 4650456001. The reversal of 4650456000 is 6540564.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4650456001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885382 + ... + 890618.

Almost surely, 2^4650456000 is an apocalyptic number.

4650456000 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 4650456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886919456).

4650456000 is an abundant number, since it is smaller than the sum of its proper divisors (11123382912).

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

4650456000 is a wasteful number, since it uses less digits than its factorization.

4650456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4650456000 is about 68194.2519571848. The cubic root of 4650456000 is about 1669.1620929550.

Adding to 4650456000 its reverse (6540564), we get a palindrome (4656996564).

The spelling of 4650456000 in words is "four billion, six hundred fifty million, four hundred fifty-six thousand".