405455001252 has 288 divisors, whose sum is σ = 1181939404800. Its totient is φ = 105659873280.

The previous prime is 405455001221. The next prime is 405455001317. The reversal of 405455001252 is 252100554504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211946248 + ... + 211948160.

Almost surely, 2^405455001252 is an apocalyptic number.

405455001252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405455001252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590969702400).

405455001252 is an abundant number, since it is smaller than the sum of its proper divisors (776484403548).

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

405455001252 is a wasteful number, since it uses less digits than its factorization.

405455001252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 405455001252 its reverse (252100554504), we get a palindrome (657555555756).

The spelling of 405455001252 in words is "four hundred five billion, four hundred fifty-five million, one thousand, two hundred fifty-two".