738490400 has 144 divisors (see below), whose sum is σ = 1886519880. Its totient is φ = 282009600.

The previous prime is 738490373. The next prime is 738490409. The reversal of 738490400 is 4094837.

It can be written as a sum of positive squares in 12 ways, for example, as 122855056 + 615635344 = 11084^2 + 24812^2 .

It is not an unprimeable number, because it can be changed into a prime (738490409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1805396 + ... + 1805804.

Almost surely, 2^738490400 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 738490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943259940).

738490400 is an abundant number, since it is smaller than the sum of its proper divisors (1148029480).

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

738490400 is a wasteful number, since it uses less digits than its factorization.

738490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 738490400 is about 27175.1798522107. The cubic root of 738490400 is about 903.8886880983. Note that the first 3 decimals are identical.

The spelling of 738490400 in words is "seven hundred thirty-eight million, four hundred ninety thousand, four hundred".