477781920 has 576 divisors, whose sum is σ = 2113413120. Its totient is φ = 95385600.

The previous prime is 477781919. The next prime is 477781963. The reversal of 477781920 is 29187774.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437211 + ... + 3437349.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^477781920 is an apocalyptic number.

477781920 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 477781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

477781920 is an abundant number, since it is smaller than the sum of its proper divisors (1635631200).

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

477781920 is a wasteful number, since it uses less digits than its factorization.

477781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 477781920 is about 21858.2231665797. The cubic root of 477781920 is about 781.7656255213.

The spelling of 477781920 in words is "four hundred seventy-seven million, seven hundred eighty-one thousand, nine hundred twenty".