476760 has 64 divisors (see below), whose sum is σ = 1490400. Its totient is φ = 121856.

The previous prime is 476759. The next prime is 476783. The reversal of 476760 is 67674.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3412 + ... + 3548.

2⁴⁷⁶⁷⁶⁰ is an apocalyptic number.

476760 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 476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745200).

476760 is an abundant number, since it is smaller than the sum of its proper divisors (1013640).

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

476760 is a wasteful number, since it uses less digits than its factorization.

476760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 476760 is about 690.4780952355. The cubic root of 476760 is about 78.1207859060.

The spelling of 476760 in words is "four hundred seventy-six thousand, seven hundred sixty".