4656474900 has 648 divisors, whose sum is σ = 19218457440. Its totient is φ = 931392000.

The previous prime is 4656474869. The next prime is 4656474923. The reversal of 4656474900 is 94746564.

4656474900 is a `hidden beast` number, since 46 + 56 + 474 + 90 + 0 = 666.

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

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 215 ways as a sum of consecutive naturals, for example, 14067735 + ... + 14068065.

Almost surely, 2^4656474900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656474900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609228720).

4656474900 is an abundant number, since it is smaller than the sum of its proper divisors (14561982540).

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

4656474900 is a wasteful number, since it uses less digits than its factorization.

4656474900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4656474900 is about 68238.3682395762. The cubic root of 4656474900 is about 1669.8818925162.

The spelling of 4656474900 in words is "four billion, six hundred fifty-six million, four hundred seventy-four thousand, nine hundred".