403956352 has 64 divisors (see below), whose sum is σ = 832809600. Its totient is φ = 195057664.

The previous prime is 403956347. The next prime is 403956353. The reversal of 403956352 is 253659304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×403956352² = 326361468642295808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403956353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498924 + ... + 499732.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2^403956352 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 403956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416404800).

403956352 is an abundant number, since it is smaller than the sum of its proper divisors (428853248).

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

403956352 is an equidigital number, since it uses as much as digits as its factorization.

403956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 403956352 is about 20098.6654283313. The cubic root of 403956352 is about 739.2275553030.

The spelling of 403956352 in words is "four hundred three million, nine hundred fifty-six thousand, three hundred fifty-two".