475552440 has 384 divisors, whose sum is σ = 1804420800. Its totient is φ = 107520000.

The previous prime is 475552421. The next prime is 475552447. The reversal of 475552440 is 44255574.

It is a happy number.

475552440 is a `hidden beast` number, since 47 + 55 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 475552395 and 475552404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475552447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4708390 + ... + 4708490.

Almost surely, 2^475552440 is an apocalyptic number.

475552440 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 475552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

475552440 is an abundant number, since it is smaller than the sum of its proper divisors (1328868360).

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

475552440 is a wasteful number, since it uses less digits than its factorization.

475552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 475552440 is about 21807.1648776268. The cubic root of 475552440 is about 780.5477415007.

The spelling of 475552440 in words is "four hundred seventy-five million, five hundred fifty-two thousand, four hundred forty".