478826400 has 288 divisors, whose sum is σ = 1706140800. Its totient is φ = 115937280.

The previous prime is 478826399. The next prime is 478826431. The reversal of 478826400 is 4628874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3213526 + ... + 3213674.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^478826400 is an apocalyptic number.

478826400 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 478826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

478826400 is an abundant number, since it is smaller than the sum of its proper divisors (1227314400).

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

478826400 is a wasteful number, since it uses less digits than its factorization.

478826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 478826400 is about 21882.1022756041. The cubic root of 478826400 is about 782.3348840301.

The spelling of 478826400 in words is "four hundred seventy-eight million, eight hundred twenty-six thousand, four hundred".