475626240 has 432 divisors, whose sum is σ = 1807958880. Its totient is φ = 115015680.

The previous prime is 475626227. The next prime is 475626257. The reversal of 475626240 is 42626574.

475626240 is a `hidden beast` number, since 4 + 7 + 5 + 626 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 475626195 and 475626204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8974054 + ... + 8974106.

It is an arithmetic number, because the mean of its divisors is an integer number (4185090).

Almost surely, 2^475626240 is an apocalyptic number.

475626240 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 475626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903979440).

475626240 is an abundant number, since it is smaller than the sum of its proper divisors (1332332640).

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

475626240 is a wasteful number, since it uses less digits than its factorization.

475626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 475626240 is about 21808.8569163998. The cubic root of 475626240 is about 780.5881166090.

The spelling of 475626240 in words is "four hundred seventy-five million, six hundred twenty-six thousand, two hundred forty".