478105600 has 312 divisors, whose sum is σ = 1462584960. Its totient is φ = 151388160.

The previous prime is 478105561. The next prime is 478105643. The reversal of 478105600 is 6501874.

It is a super-4 number, since 4×478105600⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16486386 + ... + 16486414.

Almost surely, 2^478105600 is an apocalyptic number.

478105600 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 478105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731292480).

478105600 is an abundant number, since it is smaller than the sum of its proper divisors (984479360).

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

478105600 is a wasteful number, since it uses less digits than its factorization.

478105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 478105600 is about 21865.6259914963. The cubic root of 478105600 is about 781.9421249982.

The spelling of 478105600 in words is "four hundred seventy-eight million, one hundred five thousand, six hundred".