478032600 has 192 divisors, whose sum is σ = 1551284640. Its totient is φ = 121651200.

The previous prime is 478032559. The next prime is 478032613. The reversal of 478032600 is 6230874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354024 + ... + 1354376.

Almost surely, 2^478032600 is an apocalyptic number.

478032600 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 478032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775642320).

478032600 is an abundant number, since it is smaller than the sum of its proper divisors (1073252040).

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

478032600 is a wasteful number, since it uses less digits than its factorization.

478032600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 478032600 is about 21863.9566410108. The cubic root of 478032600 is about 781.9023257847.

It can be divided in two parts, 47803 and 2600, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 478032600 in words is "four hundred seventy-eight million, thirty-two thousand, six hundred".