478163400 has 192 divisors, whose sum is σ = 1741763520. Its totient is φ = 106982400.

The previous prime is 478163381. The next prime is 478163407. The reversal of 478163400 is 4361874.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (478163407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83014 + ... + 88586.

It is an arithmetic number, because the mean of its divisors is an integer number (9071685).

Almost surely, 2^478163400 is an apocalyptic number.

478163400 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 478163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870881760).

478163400 is an abundant number, since it is smaller than the sum of its proper divisors (1263600120).

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

478163400 is a wasteful number, since it uses less digits than its factorization.

478163400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 478163400 is about 21866.9476607962. The cubic root of 478163400 is about 781.9736343786.

It can be divided in two parts, 478 and 163400, that added together give a triangular number (163878 = T₅₇₂).

The spelling of 478163400 in words is "four hundred seventy-eight million, one hundred sixty-three thousand, four hundred".