738414040 has 128 divisors (see below), whose sum is σ = 2165304960. Its totient is φ = 219930624.

The previous prime is 738414031. The next prime is 738414067. The reversal of 738414040 is 40414837.

It is a junction number, because it is equal to n+sod(n) for n = 738413993 and 738414011.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55914 + ... + 67846.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^738414040 is an apocalyptic number.

738414040 is a gapful number since it is divisible by the number (70) 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 738414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082652480).

738414040 is an abundant number, since it is smaller than the sum of its proper divisors (1426890920).

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

738414040 is a wasteful number, since it uses less digits than its factorization.

738414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 738414040 is about 27173.7748573878. The cubic root of 738414040 is about 903.8575329565.

Adding to 738414040 its reverse (40414837), we get a palindrome (778828877).

The spelling of 738414040 in words is "seven hundred thirty-eight million, four hundred fourteen thousand, forty".