738475920 has 720 divisors, whose sum is σ = 3343893120. Its totient is φ = 146644992.

The previous prime is 738475889. The next prime is 738475921. The reversal of 738475920 is 29574837.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (738475921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43439752 + ... + 43439768.

It is an arithmetic number, because the mean of its divisors is an integer number (4644296).

Almost surely, 2^738475920 is an apocalyptic number.

738475920 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 738475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671946560).

738475920 is an abundant number, since it is smaller than the sum of its proper divisors (2605417200).

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

738475920 is a wasteful number, since it uses less digits than its factorization.

738475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 738475920 is about 27174.9134313249. The cubic root of 738475920 is about 903.8827803737.

The spelling of 738475920 in words is "seven hundred thirty-eight million, four hundred seventy-five thousand, nine hundred twenty".