1673330400 has 1080 divisors, whose sum is σ = 7758628416. Its totient is φ = 348364800.

The previous prime is 1673330389. The next prime is 1673330441. The reversal of 1673330400 is 40333761.

1673330400 = 196³ + 197³ + ... + 300³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53978385 + ... + 53978415.

Almost surely, 2^1673330400 is an apocalyptic number.

1673330400 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 1673330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879314208).

1673330400 is an abundant number, since it is smaller than the sum of its proper divisors (6085298016).

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

1673330400 is a wasteful number, since it uses less digits than its factorization.

1673330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 1673330400 is about 40906.3613634848. The cubic root of 1673330400 is about 1187.2091461263.

The spelling of 1673330400 in words is "one billion, six hundred seventy-three million, three hundred thirty thousand, four hundred".