475827744 has 96 divisors (see below), whose sum is σ = 1445713920. Its totient is φ = 134214912.

The previous prime is 475827721. The next prime is 475827787. The reversal of 475827744 is 447728574.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 475827693 and 475827702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48607 + ... + 57569.

It is an arithmetic number, because the mean of its divisors is an integer number (15059520).

Almost surely, 2^475827744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475827744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722856960).

475827744 is an abundant number, since it is smaller than the sum of its proper divisors (969886176).

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

475827744 is a wasteful number, since it uses less digits than its factorization.

475827744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062 (or 9054 counting only the distinct ones).

The product of its digits is 1756160, while the sum is 48.

The square root of 475827744 is about 21813.4762016511. The cubic root of 475827744 is about 780.6983358015.

The spelling of 475827744 in words is "four hundred seventy-five million, eight hundred twenty-seven thousand, seven hundred forty-four".