477355680 has 120 divisors (see below), whose sum is σ = 1684713492. Its totient is φ = 127291392.

The previous prime is 477355673. The next prime is 477355729. The reversal of 477355680 is 86553774.

It can be written as a sum of positive squares in 2 ways, for example, as 402082704 + 75272976 = 20052^2 + 8676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 5457 + ... + 31376.

Almost surely, 2^477355680 is an apocalyptic number.

477355680 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 477355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842356746).

477355680 is an abundant number, since it is smaller than the sum of its proper divisors (1207357812).

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

477355680 is a wasteful number, since it uses less digits than its factorization.

477355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36860 (or 36843 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 477355680 is about 21848.4708847095. The cubic root of 477355680 is about 781.5330794535.

The spelling of 477355680 in words is "four hundred seventy-seven million, three hundred fifty-five thousand, six hundred eighty".