478760200 has 96 divisors (see below), whose sum is σ = 1138889160. Its totient is φ = 187136000.

The previous prime is 478760197. The next prime is 478760201. The reversal of 478760200 is 2067874.

It can be written as a sum of positive squares in 12 ways, for example, as 259660996 + 219099204 = 16114^2 + 14802^2 .

It is a super-2 number, since 2×478760200² = 458422658208080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478760201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767314 + ... + 2767486.

Almost surely, 2^478760200 is an apocalyptic number.

478760200 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 478760200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569444580).

478760200 is an abundant number, since it is smaller than the sum of its proper divisors (660128960).

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

478760200 is a wasteful number, since it uses less digits than its factorization.

478760200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 478760200 is about 21880.5895715815. The cubic root of 478760200 is about 782.2988285437.

The spelling of 478760200 in words is "four hundred seventy-eight million, seven hundred sixty thousand, two hundred".