1673478144 has 300 divisors, whose sum is σ = 5439715204. Its totient is φ = 509607936.

The previous prime is 1673478139. The next prime is 1673478151. The reversal of 1673478144 is 4418743761.

1673478144 is a `hidden beast` number, since 167 + 3 + 478 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 1194393600 = 21888^2 + 34560^2 .

It is a super-3 number, since 3×1673478144³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1673478144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17252304 + ... + 17252400.

Almost surely, 2^1673478144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1673478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719857602).

1673478144 is an abundant number, since it is smaller than the sum of its proper divisors (3766237060).

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

1673478144 is an frugal number, since it uses more digits than its factorization.

1673478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1673478144 is about 40908.1672041171. The cubic root of 1673478144 is about 1187.2440860015.

The spelling of 1673478144 in words is "one billion, six hundred seventy-three million, four hundred seventy-eight thousand, one hundred forty-four".