476840 has 64 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 149760.

The previous prime is 476831. The next prime is 476849. The reversal of 476840 is 48674.

476840 = 91² + 92² + ... + 129².

It is an interprime number because it is at equal distance from previous prime (476831) and next prime (476849).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476840.

It is not an unprimeable number, because it can be changed into a prime (476849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575 + ... + 3705.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁴⁷⁶⁸⁴⁰ is an apocalyptic number.

476840 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 476840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

476840 is an abundant number, since it is smaller than the sum of its proper divisors (853720).

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

476840 is a wasteful number, since it uses less digits than its factorization.

476840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 476840 is about 690.5360236802. The cubic root of 476840 is about 78.1251551997.

The spelling of 476840 in words is "four hundred seventy-six thousand, eight hundred forty".