478969400 has 96 divisors (see below), whose sum is σ = 1370641440. Its totient is φ = 151580160.

The previous prime is 478969369. The next prime is 478969409. The reversal of 478969400 is 4969874.

It is a super-2 number, since 2×478969400² = 458823372272720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478969409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5042 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (14277515).

Almost surely, 2^478969400 is an apocalyptic number.

478969400 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 478969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685320720).

478969400 is an abundant number, since it is smaller than the sum of its proper divisors (891672040).

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

478969400 is a wasteful number, since it uses less digits than its factorization.

478969400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26353 (or 26344 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 478969400 is about 21885.3695422307. The cubic root of 478969400 is about 782.4127568968.

The spelling of 478969400 in words is "four hundred seventy-eight million, nine hundred sixty-nine thousand, four hundred".