406304340975 has 336 divisors, whose sum is σ = 841874908224. Its totient is φ = 193155840000.

The previous prime is 406304340947. The next prime is 406304340977. The reversal of 406304340975 is 579043403604.

406304340975 is a `hidden beast` number, since 4 + 0 + 630 + 4 + 3 + 4 + 0 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 406304340975 - 2¹⁰ = 406304339951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 406304340975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406304340977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1466802537 + ... + 1466802813.

It is an arithmetic number, because the mean of its divisors is an integer number (2505580084).

Almost surely, 2^406304340975 is an apocalyptic number.

406304340975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406304340975 is an abundant number, since it is smaller than the sum of its proper divisors (435570567249).

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

406304340975 is a wasteful number, since it uses less digits than its factorization.

406304340975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 406304340975 in words is "four hundred six billion, three hundred four million, three hundred forty thousand, nine hundred seventy-five".