738457248 has 96 divisors (see below), whose sum is σ = 2007742464. Its totient is φ = 237468672.

The previous prime is 738457243. The next prime is 738457259. The reversal of 738457248 is 842754837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 738457197 and 738457206.

It is not an unprimeable number, because it can be changed into a prime (738457241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450286 + ... + 451922.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 2^738457248 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 738457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

738457248 is an abundant number, since it is smaller than the sum of its proper divisors (1269285216).

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

738457248 is a wasteful number, since it uses less digits than its factorization.

738457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 738457248 is about 27174.5698770008. The cubic root of 738457248 is about 903.8751622325.

The spelling of 738457248 in words is "seven hundred thirty-eight million, four hundred fifty-seven thousand, two hundred forty-eight".