438877440 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 108822528.

The previous prime is 438877429. The next prime is 438877441. The reversal of 438877440 is 44778834.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×438877440² = 385226814681907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438877441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287639 + ... + 5287721.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^438877440 is an apocalyptic number.

438877440 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 438877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

438877440 is an abundant number, since it is smaller than the sum of its proper divisors (1248550848).

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

438877440 is an equidigital number, since it uses as much as digits as its factorization.

438877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 438877440 is about 20949.4019007703. The cubic root of 438877440 is about 759.9431167029.

The spelling of 438877440 in words is "four hundred thirty-eight million, eight hundred seventy-seven thousand, four hundred forty".