476624064 has 168 divisors, whose sum is σ = 1481571840. Its totient is φ = 132447744.

The previous prime is 476624059. The next prime is 476624069. The reversal of 476624064 is 460426674.

It is an interprime number because it is at equal distance from previous prime (476624059) and next prime (476624069).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476624069) 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, 6033177 + ... + 6033255.

It is an arithmetic number, because the mean of its divisors is an integer number (8818880).

Almost surely, 2^476624064 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 476624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740785920).

476624064 is an abundant number, since it is smaller than the sum of its proper divisors (1004947776).

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

476624064 is an equidigital number, since it uses as much as digits as its factorization.

476624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 476624064 is about 21831.7215079343. The cubic root of 476624064 is about 781.1336048122.

The spelling of 476624064 in words is "four hundred seventy-six million, six hundred twenty-four thousand, sixty-four".