438964752 has 160 divisors (see below), whose sum is σ = 1319915520. Its totient is φ = 124692480.

The previous prime is 438964751. The next prime is 438964753. The reversal of 438964752 is 257469834.

It is an interprime number because it is at equal distance from previous prime (438964751) and next prime (438964753).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (438964751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355977 + ... + 357207.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^438964752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

438964752 is an abundant number, since it is smaller than the sum of its proper divisors (880950768).

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

438964752 is a wasteful number, since it uses less digits than its factorization.

438964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 438964752 is about 20951.4856752451. The cubic root of 438964752 is about 759.9935087165.

The spelling of 438964752 in words is "four hundred thirty-eight million, nine hundred sixty-four thousand, seven hundred fifty-two".