476055840 has 384 divisors, whose sum is σ = 1755758592. Its totient is φ = 107458560.

The previous prime is 476055823. The next prime is 476055841. The reversal of 476055840 is 48550674.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (476055841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4449067 + ... + 4449173.

It is an arithmetic number, because the mean of its divisors is an integer number (4572288).

Almost surely, 2^476055840 is an apocalyptic number.

476055840 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 476055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877879296).

476055840 is an abundant number, since it is smaller than the sum of its proper divisors (1279702752).

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

476055840 is a wasteful number, since it uses less digits than its factorization.

476055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 476055840 is about 21818.7039028445. The cubic root of 476055840 is about 780.8230628154.

The spelling of 476055840 in words is "four hundred seventy-six million, fifty-five thousand, eight hundred forty".