477987840 has 528 divisors, whose sum is σ = 1931319936. Its totient is φ = 108134400.

The previous prime is 477987821. The next prime is 477987847. The reversal of 477987840 is 48789774.

477987840 is a `hidden beast` number, since 477 + 98 + 7 + 84 + 0 = 666.

477987840 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 (528).

It is not an unprimeable number, because it can be changed into a prime (477987847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658220 + ... + 11658260.

Almost surely, 2^477987840 is an apocalyptic number.

477987840 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 477987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965659968).

477987840 is an abundant number, since it is smaller than the sum of its proper divisors (1453332096).

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

477987840 is a wasteful number, since it uses less digits than its factorization.

477987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 477987840 is about 21862.9330145797. The cubic root of 477987840 is about 781.8779208658.

The spelling of 477987840 in words is "four hundred seventy-seven million, nine hundred eighty-seven thousand, eight hundred forty".