438920160 has 96 divisors (see below), whose sum is σ = 1580124672. Its totient is φ = 100323840.

The previous prime is 438920147. The next prime is 438920173. The reversal of 438920160 is 61029834.

It is an interprime number because it is at equal distance from previous prime (438920147) and next prime (438920173).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61956 + ... + 68675.

It is an arithmetic number, because the mean of its divisors is an integer number (16459632).

Almost surely, 2^438920160 is an apocalyptic number.

438920160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438920160 is an abundant number, since it is smaller than the sum of its proper divisors (1141204512).

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

438920160 is a wasteful number, since it uses less digits than its factorization.

438920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130656 (or 130648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 438920160 is about 20950.4214754739. The cubic root of 438920160 is about 759.9677733334.

Adding to 438920160 its reverse (61029834), we get a palindrome (499949994).

The spelling of 438920160 in words is "four hundred thirty-eight million, nine hundred twenty thousand, one hundred sixty".