477361920 has 432 divisors, whose sum is σ = 1845486720. Its totient is φ = 104767488.

The previous prime is 477361891. The next prime is 477361991. The reversal of 477361920 is 29163774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8090851 + ... + 8090909.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2^477361920 is an apocalyptic number.

477361920 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 477361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922743360).

477361920 is an abundant number, since it is smaller than the sum of its proper divisors (1368124800).

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

477361920 is a wasteful number, since it uses less digits than its factorization.

477361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 477361920 is about 21848.6136859985. The cubic root of 477361920 is about 781.5364848423.

The spelling of 477361920 in words is "four hundred seventy-seven million, three hundred sixty-one thousand, nine hundred twenty".