438825464 has 128 divisors (see below), whose sum is σ = 1094860800. Its totient is φ = 159815040.

The previous prime is 438825461. The next prime is 438825467. The reversal of 438825464 is 464528834.

It is an interprime number because it is at equal distance from previous prime (438825461) and next prime (438825467).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438825461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665567 + ... + 666225.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2^438825464 is an apocalyptic number.

438825464 is a gapful number since it is divisible by the number (44) 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 438825464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430400).

438825464 is an abundant number, since it is smaller than the sum of its proper divisors (656035336).

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

438825464 is a wasteful number, since it uses less digits than its factorization.

438825464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its digits is 737280, while the sum is 44.

The square root of 438825464 is about 20948.1613512976. The cubic root of 438825464 is about 759.9131156447.

The spelling of 438825464 in words is "four hundred thirty-eight million, eight hundred twenty-five thousand, four hundred sixty-four".