477360 has 160 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 110592.

The previous prime is 477359. The next prime is 477361. The reversal of 477360 is 63774.

It is an interprime number because it is at equal distance from previous prime (477359) and next prime (477361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (477361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28072 + ... + 28088.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2⁴⁷⁷³⁶⁰ is an apocalyptic number.

477360 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 477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

477360 is an abundant number, since it is smaller than the sum of its proper divisors (1397520).

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

477360 is a wasteful number, since it uses less digits than its factorization.

477360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 477360 is about 690.9124401833. The cubic root of 477360 is about 78.1535437034.

The spelling of 477360 in words is "four hundred seventy-seven thousand, three hundred sixty".