1729431990 has 192 divisors, whose sum is σ = 5349576960. Its totient is φ = 382106880.

The previous prime is 1729431983. The next prime is 1729432039. The reversal of 1729431990 is 991349271.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067401 + ... + 1069019.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 2^1729431990 is an apocalyptic number.

1729431990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729431990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1729431990 is an abundant number, since it is smaller than the sum of its proper divisors (3620144970).

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

1729431990 is a wasteful number, since it uses less digits than its factorization.

1729431990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1729431990 is about 41586.4399774734. The cubic root of 1729431990 is about 1200.3313876434.

It can be divided in two parts, 17294 and 31990, that added together give a square (49284 = 222²).

The spelling of 1729431990 in words is "one billion, seven hundred twenty-nine million, four hundred thirty-one thousand, nine hundred ninety".