475642440 has 192 divisors, whose sum is σ = 1902700800. Its totient is φ = 100348416.

The previous prime is 475642423. The next prime is 475642441. The reversal of 475642440 is 44246574.

475642440 is a `hidden beast` number, since 4 + 7 + 5 + 642 + 4 + 4 + 0 = 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 = 475642395 and 475642404.

It is not an unprimeable number, because it can be changed into a prime (475642441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25501 + ... + 40019.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2^475642440 is an apocalyptic number.

475642440 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 475642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951350400).

475642440 is an abundant number, since it is smaller than the sum of its proper divisors (1427058360).

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

475642440 is a wasteful number, since it uses less digits than its factorization.

475642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14556 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 475642440 is about 21809.2283219742. The cubic root of 475642440 is about 780.5969788786.

The spelling of 475642440 in words is "four hundred seventy-five million, six hundred forty-two thousand, four hundred forty".