405352253504 has 84 divisors (see below), whose sum is σ = 902955564672. Its totient is φ = 180330627840.

The previous prime is 405352253503. The next prime is 405352253513.

405352253504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (405352253503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192884 + ... + 920819.

It is an arithmetic number, because the mean of its divisors is an integer number (10749471008).

Almost surely, 2^405352253504 is an apocalyptic number.

405352253504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405352253504 is an abundant number, since it is smaller than the sum of its proper divisors (497603311168).

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

405352253504 is a wasteful number, since it uses less digits than its factorization.

405352253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113784 (or 1113763 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 405352 and 253504, that added together give a palindrome (658856).

The spelling of 405352253504 in words is "four hundred five billion, three hundred fifty-two million, two hundred fifty-three thousand, five hundred four".