474048405 has 24 divisors (see below), whose sum is σ = 824630040. Its totient is φ = 251919360.

The previous prime is 474048401. The next prime is 474048467. The reversal of 474048405 is 504840474.

It can be written as a sum of positive squares in 4 ways, for example, as 185014404 + 289034001 = 13602^2 + 17001^2 .

It is not a de Polignac number, because 474048405 - 2² = 474048401 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 474048405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474048401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6100 + ... + 31389.

It is an arithmetic number, because the mean of its divisors is an integer number (34359585).

Almost surely, 2^474048405 is an apocalyptic number.

474048405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

474048405 is a deficient number, since it is larger than the sum of its proper divisors (350581635).

474048405 is a wasteful number, since it uses less digits than its factorization.

474048405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37781 (or 37778 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 474048405 is about 21772.6526863403. The cubic root of 474048405 is about 779.7239901142.

Adding to 474048405 its reverse (504840474), we get a palindrome (978888879).

The spelling of 474048405 in words is "four hundred seventy-four million, forty-eight thousand, four hundred five".