475257429504 has 960 divisors, whose sum is σ = 1680017347008. Its totient is φ = 127401984000.

The previous prime is 475257429497. The next prime is 475257429533. The reversal of 475257429504 is 405924752574.

It is a happy number.

475257429504 is a `hidden beast` number, since 4 + 75 + 25 + 7 + 42 + 9 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2462473632 + ... + 2462473824.

Almost surely, 2^475257429504 is an apocalyptic number.

475257429504 is a gapful number since it is divisible by the number (44) 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 475257429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840008673504).

475257429504 is an abundant number, since it is smaller than the sum of its proper divisors (1204759917504).

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

475257429504 is a wasteful number, since it uses less digits than its factorization.

475257429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 475257429504 in words is "four hundred seventy-five billion, two hundred fifty-seven million, four hundred twenty-nine thousand, five hundred four".