738867408 has 80 divisors (see below), whose sum is σ = 1942732800. Its totient is φ = 241937280.

The previous prime is 738867407. The next prime is 738867431. The reversal of 738867408 is 804768837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738867403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027273 + ... + 1027991.

It is an arithmetic number, because the mean of its divisors is an integer number (24284160).

Almost surely, 2^738867408 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 738867408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971366400).

738867408 is an abundant number, since it is smaller than the sum of its proper divisors (1203865392).

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

738867408 is a wasteful number, since it uses less digits than its factorization.

738867408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 738867408 is about 27182.1155909543. The cubic root of 738867408 is about 904.0424771854.

The spelling of 738867408 in words is "seven hundred thirty-eight million, eight hundred sixty-seven thousand, four hundred eight".