477987280 has 80 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 183411200.

The previous prime is 477987271. The next prime is 477987287. The reversal of 477987280 is 82789774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477987287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414705 + ... + 415855.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 2^477987280 is an apocalyptic number.

477987280 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 477987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

477987280 is an abundant number, since it is smaller than the sum of its proper divisors (679081520).

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

477987280 is a wasteful number, since it uses less digits than its factorization.

477987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The square root of 477987280 is about 21862.9202075112. The cubic root of 477987280 is about 781.8776155221.

The spelling of 477987280 in words is "four hundred seventy-seven million, nine hundred eighty-seven thousand, two hundred eighty".