431101696 has 72 divisors (see below), whose sum is σ = 904788864. Its totient is φ = 204610560.

The previous prime is 431101687. The next prime is 431101709. The reversal of 431101696 is 696101134.

It is a congruent number.

It is an unprimeable number.

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, 1242195 + ... + 1242541.

It is an arithmetic number, because the mean of its divisors is an integer number (12566512).

Almost surely, 2^431101696 is an apocalyptic number.

431101696 is a gapful number since it is divisible by the number (46) 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 431101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452394432).

431101696 is an abundant number, since it is smaller than the sum of its proper divisors (473687168).

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

431101696 is a wasteful number, since it uses less digits than its factorization.

431101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 431101696 is about 20762.9886095427. The cubic root of 431101696 is about 755.4282884962.

The spelling of 431101696 in words is "four hundred thirty-one million, one hundred one thousand, six hundred ninety-six".