477987120 has 240 divisors, whose sum is σ = 1744055040. Its totient is φ = 116619264.

The previous prime is 477987119. The next prime is 477987131. The reversal of 477987120 is 21789774.

It is a happy number.

477987120 is a `hidden beast` number, since 477 + 98 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2087166 + ... + 2087394.

It is an arithmetic number, because the mean of its divisors is an integer number (7266896).

Almost surely, 2^477987120 is an apocalyptic number.

477987120 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 477987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872027520).

477987120 is an abundant number, since it is smaller than the sum of its proper divisors (1266067920).

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

477987120 is a wasteful number, since it uses less digits than its factorization.

477987120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

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

The square root of 477987120 is about 21862.9165483473. The cubic root of 477987120 is about 781.8775282809.

The spelling of 477987120 in words is "four hundred seventy-seven million, nine hundred eighty-seven thousand, one hundred twenty".