738496000 has 160 divisors (see below), whose sum is σ = 2010808800. Its totient is φ = 268288000.

The previous prime is 738495973. The next prime is 738496081. The reversal of 738496000 is 694837.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703476 + ... + 704524.

It is an arithmetic number, because the mean of its divisors is an integer number (12567555).

Almost surely, 2^738496000 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 738496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005404400).

738496000 is an abundant number, since it is smaller than the sum of its proper divisors (1272312800).

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

738496000 is a wasteful number, since it uses less digits than its factorization.

738496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 738496000 is about 27175.2828872120. The cubic root of 738496000 is about 903.8909728330.

The spelling of 738496000 in words is "seven hundred thirty-eight million, four hundred ninety-six thousand".