475537920 has 320 divisors, whose sum is σ = 1790135424. Its totient is φ = 106168320.

The previous prime is 475537913. The next prime is 475537921. The reversal of 475537920 is 29735574.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×475537920² = 452272626715852800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475537921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098024 + ... + 1098456.

Almost surely, 2^475537920 is an apocalyptic number.

475537920 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 475537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895067712).

475537920 is an abundant number, since it is smaller than the sum of its proper divisors (1314597504).

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

475537920 is a wasteful number, since it uses less digits than its factorization.

475537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 475537920 is about 21806.8319569808. The cubic root of 475537920 is about 780.5397972885.

The spelling of 475537920 in words is "four hundred seventy-five million, five hundred thirty-seven thousand, nine hundred twenty".