738504 has 64 divisors (see below), whose sum is σ = 2217600. Its totient is φ = 226368.

The previous prime is 738499. The next prime is 738509. The reversal of 738504 is 405837.

It is an interprime number because it is at equal distance from previous prime (738499) and next prime (738509).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁷³⁸⁵⁰⁴ 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 738504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108800).

738504 is an abundant number, since it is smaller than the sum of its proper divisors (1479096).

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

738504 is a wasteful number, since it uses less digits than its factorization.

738504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 738504 is about 859.3625544553. The cubic root of 738504 is about 90.3894236720.

The spelling of 738504 in words is "seven hundred thirty-eight thousand, five hundred four".