4726432000 has 144 divisors (see below), whose sum is σ = 11877046272. Its totient is φ = 1874073600.

The previous prime is 4726431979. The next prime is 4726432027. The reversal of 4726432000 is 2346274.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4726432000.

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 15 ways as a sum of consecutive naturals, for example, 4063419 + ... + 4064581.

It is an arithmetic number, because the mean of its divisors is an integer number (82479488).

Almost surely, 2^4726432000 is an apocalyptic number.

4726432000 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 4726432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938523136).

4726432000 is an abundant number, since it is smaller than the sum of its proper divisors (7150614272).

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

4726432000 is a wasteful number, since it uses less digits than its factorization.

4726432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 4726432000 is about 68749.0509025397. The cubic root of 4726432000 is about 1678.2029158477.

Adding to 4726432000 its reverse (2346274), we get a palindrome (4728778274).

The spelling of 4726432000 in words is "four billion, seven hundred twenty-six million, four hundred thirty-two thousand".