475770240 has 256 divisors, whose sum is σ = 1838937600. Its totient is φ = 115292160.

The previous prime is 475770227. The next prime is 475770247. The reversal of 475770240 is 42077574.

It is a happy number.

475770240 is a `hidden beast` number, since 47 + 577 + 0 + 2 + 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 = 475770195 and 475770204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475770247) 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, 188829 + ... + 191331.

It is an arithmetic number, because the mean of its divisors is an integer number (7183350).

Almost surely, 2^475770240 is an apocalyptic number.

475770240 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 475770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919468800).

475770240 is an abundant number, since it is smaller than the sum of its proper divisors (1363167360).

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

475770240 is a wasteful number, since it uses less digits than its factorization.

475770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 475770240 is about 21812.1580775493. The cubic root of 475770240 is about 780.6668852845. Note that the first 3 decimals are identical.

The spelling of 475770240 in words is "four hundred seventy-five million, seven hundred seventy thousand, two hundred forty".