438195420 has 120 divisors (see below), whose sum is σ = 1480447584. Its totient is φ = 107858304.

The previous prime is 438195409. The next prime is 438195473. The reversal of 438195420 is 24591834.

438195420 is a `hidden beast` number, since 43 + 8 + 195 + 420 = 666.

It is a super-2 number, since 2×438195420² = 384030452217952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10657 + ... + 31463.

Almost surely, 2^438195420 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 438195420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740223792).

438195420 is an abundant number, since it is smaller than the sum of its proper divisors (1042252164).

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

438195420 is a wasteful number, since it uses less digits than its factorization.

438195420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20841 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 438195420 is about 20933.1177802066. The cubic root of 438195420 is about 759.5492595053.

The spelling of 438195420 in words is "four hundred thirty-eight million, one hundred ninety-five thousand, four hundred twenty".