403115328 has 336 divisors, whose sum is σ = 1474012800. Its totient is φ = 102297600.

The previous prime is 403115311. The next prime is 403115329. The reversal of 403115328 is 823511304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403115329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705398 + ... + 2705546.

Almost surely, 2^403115328 is an apocalyptic number.

403115328 is a gapful number since it is divisible by the number (48) 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 403115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

403115328 is an abundant number, since it is smaller than the sum of its proper divisors (1070897472).

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

403115328 is a wasteful number, since it uses less digits than its factorization.

403115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 403115328 is about 20077.7321428492. The cubic root of 403115328 is about 738.7141829457.

The spelling of 403115328 in words is "four hundred three million, one hundred fifteen thousand, three hundred twenty-eight".