476440 has 32 divisors (see below), whose sum is σ = 1100880. Its totient is φ = 185472.

The previous prime is 476429. The next prime is 476467. The reversal of 476440 is 44674.

476440 = 165² + 166² + ... + 180².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

476440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 1858.

2⁴⁷⁶⁴⁴⁰ is an apocalyptic number.

476440 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 476440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550440).

476440 is an abundant number, since it is smaller than the sum of its proper divisors (624440).

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

476440 is a wasteful number, since it uses less digits than its factorization.

476440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 476440 is about 690.2463328407. The cubic root of 476440 is about 78.1033038420.

The spelling of 476440 in words is "four hundred seventy-six thousand, four hundred forty".