1738478448 has 180 divisors, whose sum is σ = 5813500680. Its totient is φ = 483211008.

The previous prime is 1738478447. The next prime is 1738478453. The reversal of 1738478448 is 8448748371.

It is a super-4 number, since 4×1738478448⁴ (a number of 38 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1738478394 and 1738478403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1738478447) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 257743 + ... + 264401.

It is an arithmetic number, because the mean of its divisors is an integer number (32297226).

Almost surely, 2^1738478448 is an apocalyptic number.

1738478448 is a gapful number since it is divisible by the number (18) 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 1738478448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906750340).

1738478448 is an abundant number, since it is smaller than the sum of its proper divisors (4075022232).

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

1738478448 is a wasteful number, since it uses less digits than its factorization.

1738478448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6708 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 1738478448 is about 41695.0650317277. The cubic root of 1738478448 is about 1202.4206803056.

The spelling of 1738478448 in words is "one billion, seven hundred thirty-eight million, four hundred seventy-eight thousand, four hundred forty-eight".