438161040 has 120 divisors (see below), whose sum is σ = 1535526720. Its totient is φ = 111758592.

The previous prime is 438161023. The next prime is 438161047. The reversal of 438161040 is 40161834.

438161040 = T₂₄₈₀ + T₂₄₈₁ + ... + T₂₆₁₄.

438161040 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 438160995 and 438161013.

It is not an unprimeable number, because it can be changed into a prime (438161047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331 + ... + 29789.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^438161040 is an apocalyptic number.

438161040 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 438161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

438161040 is an abundant number, since it is smaller than the sum of its proper divisors (1097365680).

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

438161040 is a wasteful number, since it uses less digits than its factorization.

438161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26501 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 438161040 is about 20932.2965772989. The cubic root of 438161040 is about 759.5293947104.

The spelling of 438161040 in words is "four hundred thirty-eight million, one hundred sixty-one thousand, forty".