402307312729 has 45 divisors (see below), whose sum is σ = 495965318181. Its totient is φ = 325384101000.

The previous prime is 402307312723. The next prime is 402307312777. The reversal of 402307312729 is 927213703204.

It is a happy number.

The square root of 402307312729 is 634277.

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

It is not a de Polignac number, because 402307312729 - 2¹⁵ = 402307279961 is a prime.

It is a super-3 number, since 3×402307312729³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402307312691 and 402307312700.

It is not an unprimeable number, because it can be changed into a prime (402307312723) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1602817854 + ... + 1602818104.

Almost surely, 2^402307312729 is an apocalyptic number.

402307312729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

402307312729 is the 634277-th square number.

402307312729 is the 317139-th centered octagonal number.

It is an amenable number.

402307312729 is a deficient number, since it is larger than the sum of its proper divisors (93658005452).

402307312729 is an frugal number, since it uses more digits than its factorization.

402307312729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 402307312729 in words is "four hundred two billion, three hundred seven million, three hundred twelve thousand, seven hundred twenty-nine".