438226560 has 96 divisors (see below), whose sum is σ = 1513270980. Its totient is φ = 116858880.

The previous prime is 438226559. The next prime is 438226589. The reversal of 438226560 is 65622834.

It can be written as a sum of positive squares in 2 ways, for example, as 375119424 + 63107136 = 19368^2 + 7944^2 .

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

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32281 + ... + 43800.

Almost surely, 2^438226560 is an apocalyptic number.

438226560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438226560 is an abundant number, since it is smaller than the sum of its proper divisors (1075044420).

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

438226560 is a wasteful number, since it uses less digits than its factorization.

438226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76106 (or 76091 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 438226560 is about 20933.8615644606. The cubic root of 438226560 is about 759.5672513286.

The spelling of 438226560 in words is "four hundred thirty-eight million, two hundred twenty-six thousand, five hundred sixty".