477949200 has 120 divisors (see below), whose sum is σ = 1597689408. Its totient is φ = 121904640.

The previous prime is 477949193. The next prime is 477949229. The reversal of 477949200 is 2949774.

477949200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18942 + ... + 36258.

Almost surely, 2^477949200 is an apocalyptic number.

477949200 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 477949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798844704).

477949200 is an abundant number, since it is smaller than the sum of its proper divisors (1119740208).

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

477949200 is a wasteful number, since it uses less digits than its factorization.

477949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 477949200 is about 21862.0493092482. The cubic root of 477949200 is about 781.8568515872.

The spelling of 477949200 in words is "four hundred seventy-seven million, nine hundred forty-nine thousand, two hundred".