403121952 has 144 divisors (see below), whose sum is σ = 1224706392. Its totient is φ = 125337600.

The previous prime is 403121941. The next prime is 403121981. The reversal of 403121952 is 259121304.

It can be written as a sum of positive squares in 4 ways, for example, as 403045776 + 76176 = 20076^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670452 + ... + 671052.

Almost surely, 2^403121952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612353196).

403121952 is an abundant number, since it is smaller than the sum of its proper divisors (821584440).

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

403121952 is a wasteful number, since it uses less digits than its factorization.

403121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 403121952 is about 20077.8971010412. The cubic root of 403121952 is about 738.7182291129.

The spelling of 403121952 in words is "four hundred three million, one hundred twenty-one thousand, nine hundred fifty-two".