903429696 has 112 divisors (see below), whose sum is σ = 2686287744. Its totient is φ = 265875456.

The previous prime is 903429671. The next prime is 903429697. The reversal of 903429696 is 696924309.

903429696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×903429696² = 1632370431229304832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (903429697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49540 + ... + 65276.

It is an arithmetic number, because the mean of its divisors is an integer number (23984712).

Almost surely, 2^903429696 is an apocalyptic number.

903429696 is a gapful number since it is divisible by the number (96) 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 903429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343143872).

903429696 is an abundant number, since it is smaller than the sum of its proper divisors (1782858048).

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

903429696 is a wasteful number, since it uses less digits than its factorization.

903429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15788 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 903429696 is about 30057.1072460408. The cubic root of 903429696 is about 966.7142504255.

The spelling of 903429696 in words is "nine hundred three million, four hundred twenty-nine thousand, six hundred ninety-six".