403475228352 has 224 divisors, whose sum is σ = 1361226071040. Its totient is φ = 114799472640.

The previous prime is 403475228347. The next prime is 403475228353. The reversal of 403475228352 is 253822574304.

403475228352 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 75 + 228 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 403475228298 and 403475228307.

It is not an unprimeable number, because it can be changed into a prime (403475228353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2845933 + ... + 2984339.

Almost surely, 2^403475228352 is an apocalyptic number.

403475228352 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 403475228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680613035520).

403475228352 is an abundant number, since it is smaller than the sum of its proper divisors (957750842688).

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

403475228352 is a wasteful number, since it uses less digits than its factorization.

403475228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138676 (or 138660 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 403475228352 in words is "four hundred three billion, four hundred seventy-five million, two hundred twenty-eight thousand, three hundred fifty-two".