405252052000 has 96 divisors (see below), whose sum is σ = 1054275309360. Its totient is φ = 152565452800.

The previous prime is 405252051991. The next prime is 405252052019. The reversal of 405252052000 is 250252504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93633552016 + 311618499984 = 305996^2 + 558228^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 2911795 + ... + 3047794.

Almost surely, 2^405252052000 is an apocalyptic number.

405252052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405252052000 is an abundant number, since it is smaller than the sum of its proper divisors (649023257360).

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

405252052000 is a wasteful number, since it uses less digits than its factorization.

405252052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959631 (or 5959613 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 405252052000 in words is "four hundred five billion, two hundred fifty-two million, fifty-two thousand".