4706456832 has 576 divisors, whose sum is σ = 17895628800. Its totient is φ = 1184440320.

The previous prime is 4706456831. The next prime is 4706456899. The reversal of 4706456832 is 2386546074.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4706456832² = 44301471822958952448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4706456831) 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, 19692169 + ... + 19692407.

It is an arithmetic number, because the mean of its divisors is an integer number (31068800).

Almost surely, 2^4706456832 is an apocalyptic number.

4706456832 is a gapful number since it is divisible by the number (42) 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 4706456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947814400).

4706456832 is an abundant number, since it is smaller than the sum of its proper divisors (13189171968).

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

4706456832 is a wasteful number, since it uses less digits than its factorization.

4706456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4706456832 is about 68603.6211289171. The cubic root of 4706456832 is about 1675.8353990658.

The spelling of 4706456832 in words is "four billion, seven hundred six million, four hundred fifty-six thousand, eight hundred thirty-two".