1673429940 has 432 divisors, whose sum is σ = 6616891008. Its totient is φ = 333310464.

The previous prime is 1673429939. The next prime is 1673429951. The reversal of 1673429940 is 499243761.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5913039 + ... + 5913321.

Almost surely, 2^1673429940 is an apocalyptic number.

1673429940 is a gapful number since it is divisible by the number (10) 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 1673429940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308445504).

1673429940 is an abundant number, since it is smaller than the sum of its proper divisors (4943461068).

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

1673429940 is a wasteful number, since it uses less digits than its factorization.

1673429940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1673429940 is about 40907.5780265711. The cubic root of 1673429940 is about 1187.2326864973.

The spelling of 1673429940 in words is "one billion, six hundred seventy-three million, four hundred twenty-nine thousand, nine hundred forty".