475974240 has 288 divisors, whose sum is σ = 1778837760. Its totient is φ = 106950144.

The previous prime is 475974229. The next prime is 475974251. The reversal of 475974240 is 42479574.

It is an interprime number because it is at equal distance from previous prime (475974229) and next prime (475974251).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 475974192 and 475974201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8067331 + ... + 8067389.

It is an arithmetic number, because the mean of its divisors is an integer number (6176520).

Almost surely, 2^475974240 is an apocalyptic number.

475974240 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 475974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889418880).

475974240 is an abundant number, since it is smaller than the sum of its proper divisors (1302863520).

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

475974240 is an frugal number, since it uses more digits than its factorization.

475974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 475974240 is about 21816.8338674520. The cubic root of 475974240 is about 780.7784470390.

The spelling of 475974240 in words is "four hundred seventy-five million, nine hundred seventy-four thousand, two hundred forty".