478338432 has 256 divisors, whose sum is σ = 1546352640. Its totient is φ = 129024000.

The previous prime is 478338403. The next prime is 478338437. The reversal of 478338432 is 234833874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478338437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702132 + ... + 1702412.

It is an arithmetic number, because the mean of its divisors is an integer number (6040440).

Almost surely, 2^478338432 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 478338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773176320).

478338432 is an abundant number, since it is smaller than the sum of its proper divisors (1068014208).

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

478338432 is a wasteful number, since it uses less digits than its factorization.

478338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 478338432 is about 21870.9494992787. The cubic root of 478338432 is about 782.0690367118.

It can be divided in two parts, 47833 and 8432, that added together give a palindrome (56265).

The spelling of 478338432 in words is "four hundred seventy-eight million, three hundred thirty-eight thousand, four hundred thirty-two".