438230520 has 480 divisors, whose sum is σ = 1845298800. Its totient is φ = 92461824.

The previous prime is 438230519. The next prime is 438230549. The reversal of 438230520 is 25032834.

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 119 ways as a sum of consecutive naturals, for example, 33710034 + ... + 33710046.

Almost surely, 2^438230520 is an apocalyptic number.

438230520 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 438230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922649400).

438230520 is an abundant number, since it is smaller than the sum of its proper divisors (1407068280).

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

438230520 is a wasteful number, since it uses less digits than its factorization.

438230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 438230520 is about 20933.9561478474. The cubic root of 438230520 is about 759.5695392451.

The spelling of 438230520 in words is "four hundred thirty-eight million, two hundred thirty thousand, five hundred twenty".