431491104 has 192 divisors, whose sum is σ = 1392007680. Its totient is φ = 128943360.

The previous prime is 431491079. The next prime is 431491129. The reversal of 431491104 is 401194134.

It is an interprime number because it is at equal distance from previous prime (431491079) and next prime (431491129).

It is a super-2 number, since 2×431491104² = 372369145662277632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788559 + ... + 789105.

It is an arithmetic number, because the mean of its divisors is an integer number (7250040).

Almost surely, 2^431491104 is an apocalyptic number.

431491104 is a gapful number since it is divisible by the number (44) 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 431491104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696003840).

431491104 is an abundant number, since it is smaller than the sum of its proper divisors (960516576).

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

431491104 is a wasteful number, since it uses less digits than its factorization.

431491104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 431491104 is about 20772.3639482847. The cubic root of 431491104 is about 755.6556759031.

Subtracting from 431491104 its product of nonzero digits (1728), we obtain a triangular number (431489376 = T₂₉₃₇₆).

It can be divided in two parts, 43149 and 1104, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 431491104 in words is "four hundred thirty-one million, four hundred ninety-one thousand, one hundred four".