478172100 has 144 divisors (see below), whose sum is σ = 1596425600. Its totient is φ = 108241920.

The previous prime is 478172087. The next prime is 478172111. The reversal of 478172100 is 1271874.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 227856 + ... + 229944.

Almost surely, 2^478172100 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 478172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798212800).

478172100 is an abundant number, since it is smaller than the sum of its proper divisors (1118253500).

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

478172100 is a wasteful number, since it uses less digits than its factorization.

478172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 478172100 is about 21867.1465902618. The cubic root of 478172100 is about 781.9783769201.

It can be divided in two parts, 478 and 172100, that added together give a triangular number (172578 = T₅₈₇).

The spelling of 478172100 in words is "four hundred seventy-eight million, one hundred seventy-two thousand, one hundred".