405397077264 has 135 divisors (see below), whose sum is σ = 1148465288997. Its totient is φ = 133494746112.

The previous prime is 405397077257. The next prime is 405397077287. The reversal of 405397077264 is 462770793504.

The square root of 405397077264 is 636708.

It is a perfect power (a square), and thus also a powerful number.

405397077264 is a `hidden beast` number, since 40 + 539 + 7 + 0 + 7 + 7 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182038755600 + 223358321664 = 426660^2 + 472608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 405397077264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 741127839 + ... + 741128385.

Almost surely, 2^405397077264 is an apocalyptic number.

405397077264 is the 636708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405397077264

405397077264 is an abundant number, since it is smaller than the sum of its proper divisors (743068211733).

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

405397077264 is an frugal number, since it uses more digits than its factorization.

405397077264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 405397077264 in words is "four hundred five billion, three hundred ninety-seven million, seventy-seven thousand, two hundred sixty-four".