475749120 has 288 divisors, whose sum is σ = 1895523840. Its totient is φ = 98795520.

The previous prime is 475749107. The next prime is 475749137. The reversal of 475749120 is 21947574.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 294876 + ... + 296484.

It is an arithmetic number, because the mean of its divisors is an integer number (6581680).

Almost surely, 2^475749120 is an apocalyptic number.

475749120 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 475749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947761920).

475749120 is an abundant number, since it is smaller than the sum of its proper divisors (1419774720).

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

475749120 is a wasteful number, since it uses less digits than its factorization.

475749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 475749120 is about 21811.6739385128. The cubic root of 475749120 is about 780.6553335401.

The spelling of 475749120 in words is "four hundred seventy-five million, seven hundred forty-nine thousand, one hundred twenty".