4656402450 has 288 divisors, whose sum is σ = 15121282176. Its totient is φ = 1043228160.

The previous prime is 4656402449. The next prime is 4656402451. The reversal of 4656402450 is 542046564.

4656402450 is a `hidden beast` number, since 4 + 6 + 5 + 640 + 2 + 4 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4656402449) and next prime (4656402451).

It is not an unprimeable number, because it can be changed into a prime (4656402451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4507134 + ... + 4508166.

It is an arithmetic number, because the mean of its divisors is an integer number (52504452).

Almost surely, 2^4656402450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656402450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560641088).

4656402450 is an abundant number, since it is smaller than the sum of its proper divisors (10464879726).

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

4656402450 is a wasteful number, since it uses less digits than its factorization.

4656402450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4656402450 is about 68237.8373778068. The cubic root of 4656402450 is about 1669.8732319183.

The spelling of 4656402450 in words is "four billion, six hundred fifty-six million, four hundred two thousand, four hundred fifty".