403253525352304 has 80 divisors (see below), whose sum is σ = 860820483962880. Its totient is φ = 181471641120000.

The previous prime is 403253525352287. The next prime is 403253525352313.

403253525352304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×403253525352304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307920169 + ... + 309226999.

It is an arithmetic number, because the mean of its divisors is an integer number (10760256049536).

Almost surely, 2^{403253525352304} is an apocalyptic number.

403253525352304 is a gapful number since it is divisible by the number (44) 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 403253525352304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430410241981440).

403253525352304 is an abundant number, since it is smaller than the sum of its proper divisors (457566958610576).

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

403253525352304 is a wasteful number, since it uses less digits than its factorization.

403253525352304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324310 (or 1324304 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 46.

The spelling of 403253525352304 in words is "four hundred three trillion, two hundred fifty-three billion, five hundred twenty-five million, three hundred fifty-two thousand, three hundred four".