476348544 has 192 divisors, whose sum is σ = 1649544000. Its totient is φ = 128894976.

The previous prime is 476348533. The next prime is 476348549. The reversal of 476348544 is 445843674.

476348544 is a `hidden beast` number, since 4 + 7 + 63 + 48 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 476348544.

It is not an unprimeable number, because it can be changed into a prime (476348549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151662 + ... + 154770.

It is an arithmetic number, because the mean of its divisors is an integer number (8591375).

Almost surely, 2^476348544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824772000).

476348544 is an abundant number, since it is smaller than the sum of its proper divisors (1173195456).

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

476348544 is a wasteful number, since it uses less digits than its factorization.

476348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3140 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 476348544 is about 21825.4105116032. The cubic root of 476348544 is about 780.9830602982.

The spelling of 476348544 in words is "four hundred seventy-six million, three hundred forty-eight thousand, five hundred forty-four".