438480 has 160 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 96768.

The previous prime is 438479. The next prime is 438499. The reversal of 438480 is 84834.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15106 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁴³⁸⁴⁸⁰ is an apocalyptic number.

438480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

438480 is an abundant number, since it is smaller than the sum of its proper divisors (1347120).

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

438480 is a wasteful number, since it uses less digits than its factorization.

438480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 438480 is about 662.1782237434. The cubic root of 438480 is about 75.9713650203.

The spelling of 438480 in words is "four hundred thirty-eight thousand, four hundred eighty".