4706424000 has 448 divisors, whose sum is σ = 17545507200. Its totient is φ = 1250380800.

The previous prime is 4706423993. The next prime is 4706424001. The reversal of 4706424000 is 4246074.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (4706424001) 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 63 ways as a sum of consecutive naturals, for example, 17495866 + ... + 17496134.

Almost surely, 2^4706424000 is an apocalyptic number.

4706424000 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 4706424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772753600).

4706424000 is an abundant number, since it is smaller than the sum of its proper divisors (12839083200).

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

4706424000 is an frugal number, since it uses more digits than its factorization.

4706424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4706424000 is about 68603.3818408393. The cubic root of 4706424000 is about 1675.8315022096.

The spelling of 4706424000 in words is "four billion, seven hundred six million, four hundred twenty-four thousand".