477952000 has 96 divisors (see below), whose sum is σ = 1193315760. Its totient is φ = 191078400.

The previous prime is 477951959. The next prime is 477952001. The reversal of 477952000 is 259774.

It is a super-2 number, since 2×477952000² = 456876228608000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477952001) 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 7 ways as a sum of consecutive naturals, for example, 255067 + ... + 256933.

Almost surely, 2^477952000 is an apocalyptic number.

477952000 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 477952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596657880).

477952000 is an abundant number, since it is smaller than the sum of its proper divisors (715363760).

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

477952000 is an equidigital number, since it uses as much as digits as its factorization.

477952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 477952000 is about 21862.1133470669. The cubic root of 477952000 is about 781.8583783846.

The spelling of 477952000 in words is "four hundred seventy-seven million, nine hundred fifty-two thousand".