478051200 has 384 divisors, whose sum is σ = 1912377600. Its totient is φ = 115660800.

The previous prime is 478051181. The next prime is 478051207. The reversal of 478051200 is 2150874.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478051207) 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, 950149 + ... + 950651.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^478051200 is an apocalyptic number.

478051200 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 478051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

478051200 is an abundant number, since it is smaller than the sum of its proper divisors (1434326400).

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

478051200 is a wasteful number, since it uses less digits than its factorization.

478051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 478051200 is about 21864.3819944676. The cubic root of 478051200 is about 781.9124667909.

The spelling of 478051200 in words is "four hundred seventy-eight million, fifty-one thousand, two hundred".