402906293001 has 9 divisors (see below), whose sum is σ = 581978507149. Its totient is φ = 268602925836.

The previous prime is 402906292949. The next prime is 402906293029. The reversal of 402906293001 is 100392609204.

The square root of 402906293001 is 634749.

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

402906293001 is a `hidden beast` number, since 4 + 0 + 29 + 0 + 629 + 3 + 0 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 402906293001 - 2³⁵ = 368546554633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402906223001) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1798456 + ... + 2010038.

Almost surely, 2^402906293001 is an apocalyptic number.

402906293001 is the 634749-th square number.

402906293001 is the 317375-th centered octagonal number.

It is an amenable number.

402906293001 is a deficient number, since it is larger than the sum of its proper divisors (179072214148).

402906293001 is an frugal number, since it uses more digits than its factorization.

402906293001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423172 (or 211586 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 402906293001 by its sum of digits (36), we get a square (14504626548036 = 3808494²).

The spelling of 402906293001 in words is "four hundred two billion, nine hundred six million, two hundred ninety-three thousand, one".