475823040 has 448 divisors, whose sum is σ = 1941746688. Its totient is φ = 95846400.

The previous prime is 475823021. The next prime is 475823063. The reversal of 475823040 is 40328574.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 475822992 and 475823010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030642 + ... + 3030798.

It is an arithmetic number, because the mean of its divisors is an integer number (4334256).

Almost surely, 2^475823040 is an apocalyptic number.

475823040 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 475823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970873344).

475823040 is an abundant number, since it is smaller than the sum of its proper divisors (1465923648).

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

475823040 is a wasteful number, since it uses less digits than its factorization.

475823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 475823040 is about 21813.3683781300. The cubic root of 475823040 is about 780.6957631499.

The spelling of 475823040 in words is "four hundred seventy-five million, eight hundred twenty-three thousand, forty".