477880016 has 40 divisors (see below), whose sum is σ = 968878464. Its totient is φ = 227905920.

The previous prime is 477880003. The next prime is 477880031. The reversal of 477880016 is 610088774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144461 + ... + 147731.

Almost surely, 2^477880016 is an apocalyptic number.

477880016 is a gapful number since it is divisible by the number (46) 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 477880016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484439232).

477880016 is an abundant number, since it is smaller than the sum of its proper divisors (490998448).

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

477880016 is a wasteful number, since it uses less digits than its factorization.

477880016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 477880016 is about 21860.4669666501. The cubic root of 477880016 is about 781.8191247084.

The spelling of 477880016 in words is "four hundred seventy-seven million, eight hundred eighty thousand, sixteen".