738226400 has 144 divisors (see below), whose sum is σ = 1918564704. Its totient is φ = 276756480.

The previous prime is 738226393. The next prime is 738226421. The reversal of 738226400 is 4622837.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974822 + ... + 975578.

It is an arithmetic number, because the mean of its divisors is an integer number (13323366).

Almost surely, 2^738226400 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 738226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959282352).

738226400 is an abundant number, since it is smaller than the sum of its proper divisors (1180338304).

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

738226400 is a wasteful number, since it uses less digits than its factorization.

738226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 738226400 is about 27170.3220444661. The cubic root of 738226400 is about 903.7809660685.

The spelling of 738226400 in words is "seven hundred thirty-eight million, two hundred twenty-six thousand, four hundred".