478469400 has 216 divisors, whose sum is σ = 1599445620. Its totient is φ = 118304640.

The previous prime is 478469399. The next prime is 478469401. The reversal of 478469400 is 4964874.

It is an interprime number because it is at equal distance from previous prime (478469399) and next prime (478469401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478469401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10180177 + ... + 10180223.

Almost surely, 2^478469400 is an apocalyptic number.

478469400 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 478469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799722810).

478469400 is an abundant number, since it is smaller than the sum of its proper divisors (1120976220).

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

478469400 is a wasteful number, since it uses less digits than its factorization.

478469400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 478469400 is about 21873.9434030538. The cubic root of 478469400 is about 782.1404064535.

The spelling of 478469400 in words is "four hundred seventy-eight million, four hundred sixty-nine thousand, four hundred".