478867200 has 324 divisors, whose sum is σ = 1841991480. Its totient is φ = 109240320.

The previous prime is 478867189. The next prime is 478867201. The reversal of 478867200 is 2768874.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478867201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 940546 + ... + 941054.

Almost surely, 2^478867200 is an apocalyptic number.

478867200 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 478867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920995740).

478867200 is an abundant number, since it is smaller than the sum of its proper divisors (1363124280).

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

478867200 is a wasteful number, since it uses less digits than its factorization.

478867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 478867200 is about 21883.0345244895. The cubic root of 478867200 is about 782.3571038831.

The spelling of 478867200 in words is "four hundred seventy-eight million, eight hundred sixty-seven thousand, two hundred".