478996200 has 192 divisors, whose sum is σ = 1667304000. Its totient is φ = 126385920.

The previous prime is 478996181. The next prime is 478996207. The reversal of 478996200 is 2699874.

It is a happy number.

It is a super-2 number, since 2×478996200² = 458874719228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478996207) 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, 577386 + ... + 578214.

It is an arithmetic number, because the mean of its divisors is an integer number (8683875).

Almost surely, 2^478996200 is an apocalyptic number.

478996200 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 478996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833652000).

478996200 is an abundant number, since it is smaller than the sum of its proper divisors (1188307800).

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

478996200 is a wasteful number, since it uses less digits than its factorization.

478996200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 478996200 is about 21885.9818148513. The cubic root of 478996200 is about 782.4273495276.

The spelling of 478996200 in words is "four hundred seventy-eight million, nine hundred ninety-six thousand, two hundred".