475762320 has 360 divisors, whose sum is σ = 1811217408. Its totient is φ = 111767040.

The previous prime is 475762303. The next prime is 475762327. The reversal of 475762320 is 23267574.

It is a happy number.

475762320 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 623 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (475762327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3746097 + ... + 3746223.

Almost surely, 2^475762320 is an apocalyptic number.

475762320 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 475762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905608704).

475762320 is an abundant number, since it is smaller than the sum of its proper divisors (1335455088).

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

475762320 is a wasteful number, since it uses less digits than its factorization.

475762320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 475762320 is about 21811.9765266699. The cubic root of 475762320 is about 780.6625534204.

The spelling of 475762320 in words is "four hundred seventy-five million, seven hundred sixty-two thousand, three hundred twenty".