404702105952 has 96 divisors (see below), whose sum is σ = 1106699448960. Its totient is φ = 129379681280.

The previous prime is 404702105887. The next prime is 404702105959. The reversal of 404702105952 is 259501207404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×404702105952⁴ (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404702105952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404702105959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639138 + ... + 1103585.

It is an arithmetic number, because the mean of its divisors is an integer number (11528119260).

Almost surely, 2^404702105952 is an apocalyptic number.

It is an amenable number.

404702105952 is an abundant number, since it is smaller than the sum of its proper divisors (701997343008).

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

404702105952 is a wasteful number, since it uses less digits than its factorization.

404702105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742836 (or 1742828 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 404702105952 in words is "four hundred four billion, seven hundred two million, one hundred five thousand, nine hundred fifty-two".