478022400 has 324 divisors, whose sum is σ = 1757844088. Its totient is φ = 123863040.

The previous prime is 478022359. The next prime is 478022407. The reversal of 478022400 is 4220874.

It is not an unprimeable number, because it can be changed into a prime (478022407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476704 + ... + 2476896.

Almost surely, 2^478022400 is an apocalyptic number.

478022400 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 478022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878922044).

478022400 is an abundant number, since it is smaller than the sum of its proper divisors (1279821688).

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

478022400 is a wasteful number, since it uses less digits than its factorization.

478022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 478022400 is about 21863.7233791502. The cubic root of 478022400 is about 781.8967644761.

The spelling of 478022400 in words is "four hundred seventy-eight million, twenty-two thousand, four hundred".