738480 has 80 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 184320.

The previous prime is 738469. The next prime is 738487. The reversal of 738480 is 84837.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (738487) by changing a digit.

738480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990 + ... + 4170.

2⁷³⁸⁴⁸⁰ 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 738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

738480 is an abundant number, since it is smaller than the sum of its proper divisors (1698864).

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

738480 is a wasteful number, since it uses less digits than its factorization.

738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 738480 is about 859.3485905033. The cubic root of 738480 is about 90.3884444989.

The spelling of 738480 in words is "seven hundred thirty-eight thousand, four hundred eighty".