403152512 has 64 divisors (see below), whose sum is σ = 922194240. Its totient is φ = 171970560.

The previous prime is 403152499. The next prime is 403152517. The reversal of 403152512 is 215251304.

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

It is not an unprimeable number, because it can be changed into a prime (403152517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215003 + ... + 216869.

It is an arithmetic number, because the mean of its divisors is an integer number (14409285).

Almost surely, 2^403152512 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 403152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461097120).

403152512 is an abundant number, since it is smaller than the sum of its proper divisors (519041728).

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

403152512 is a wasteful number, since it uses less digits than its factorization.

403152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 403152512 is about 20078.6581224941. The cubic root of 403152512 is about 738.7368956384.

The spelling of 403152512 in words is "four hundred three million, one hundred fifty-two thousand, five hundred twelve".