478306752 has 112 divisors (see below), whose sum is σ = 1577839872. Its totient is φ = 124231680.

The previous prime is 478306729. The next prime is 478306771. The reversal of 478306752 is 257603874.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 30960.

It is an arithmetic number, because the mean of its divisors is an integer number (14087856).

Almost surely, 2^478306752 is an apocalyptic number.

478306752 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 478306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788919936).

478306752 is an abundant number, since it is smaller than the sum of its proper divisors (1099533120).

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

478306752 is a wasteful number, since it uses less digits than its factorization.

478306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32386 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 478306752 is about 21870.2252388950. The cubic root of 478306752 is about 782.0517710463.

The spelling of 478306752 in words is "four hundred seventy-eight million, three hundred six thousand, seven hundred fifty-two".