438096960 has 336 divisors, whose sum is σ = 1780227072. Its totient is φ = 96768000.

The previous prime is 438096947. The next prime is 438096973. The reversal of 438096960 is 69690834.

It is an interprime number because it is at equal distance from previous prime (438096947) and next prime (438096973).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×438096960² = 383857892722483200, 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 an unprimeable number.

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, 624610 + ... + 625310.

Almost surely, 2^438096960 is an apocalyptic number.

438096960 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 438096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890113536).

438096960 is an abundant number, since it is smaller than the sum of its proper divisors (1342130112).

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

438096960 is a wasteful number, since it uses less digits than its factorization.

438096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 438096960 is about 20930.7658722752. The cubic root of 438096960 is about 759.4923664551.

The spelling of 438096960 in words is "four hundred thirty-eight million, ninety-six thousand, nine hundred sixty".