475997280 has 192 divisors, whose sum is σ = 1732243968. Its totient is φ = 108584960.

The previous prime is 475997273. The next prime is 475997287. The reversal of 475997280 is 82799574.

It is an interprime number because it is at equal distance from previous prime (475997273) and next prime (475997287).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475997287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87109 + ... + 92411.

It is an arithmetic number, because the mean of its divisors is an integer number (9022104).

Almost surely, 2^475997280 is an apocalyptic number.

475997280 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 475997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866121984).

475997280 is an abundant number, since it is smaller than the sum of its proper divisors (1256246688).

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

475997280 is a wasteful number, since it uses less digits than its factorization.

475997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 475997280 is about 21817.3618936846. The cubic root of 475997280 is about 780.7910449513.

The spelling of 475997280 in words is "four hundred seventy-five million, nine hundred ninety-seven thousand, two hundred eighty".