475924680 has 512 divisors, whose sum is σ = 2032128000. Its totient is φ = 96215040.

The previous prime is 475924661. The next prime is 475924681. The reversal of 475924680 is 86429574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (475924681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4906392 + ... + 4906488.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^475924680 is an apocalyptic number.

475924680 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 475924680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

475924680 is an abundant number, since it is smaller than the sum of its proper divisors (1556203320).

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

475924680 is a wasteful number, since it uses less digits than its factorization.

475924680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 475924680 is about 21815.6980177119. The cubic root of 475924680 is about 780.7513470269.

The spelling of 475924680 in words is "four hundred seventy-five million, nine hundred twenty-four thousand, six hundred eighty".