1673146400 has 72 divisors (see below), whose sum is σ = 4161741444. Its totient is φ = 656614400.

The previous prime is 1673146361. The next prime is 1673146411. The reversal of 1673146400 is 46413761.

It can be written as a sum of positive squares in 6 ways, for example, as 625200016 + 1047946384 = 25004^2 + 32372^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22670 + ... + 62130.

Almost surely, 2^1673146400 is an apocalyptic number.

1673146400 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 1673146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080870722).

1673146400 is an abundant number, since it is smaller than the sum of its proper divisors (2488595044).

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

1673146400 is a wasteful number, since it uses less digits than its factorization.

1673146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39534 (or 39521 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1673146400 is about 40904.1122627053. The cubic root of 1673146400 is about 1187.1656292193.

The spelling of 1673146400 in words is "one billion, six hundred seventy-three million, one hundred forty-six thousand, four hundred".