438769440 has 192 divisors, whose sum is σ = 1569093120. Its totient is φ = 114462720.

The previous prime is 438769433. The next prime is 438769483. The reversal of 438769440 is 44967834.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201960 + ... + 204120.

It is an arithmetic number, because the mean of its divisors is an integer number (8172360).

Almost surely, 2^438769440 is an apocalyptic number.

438769440 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 438769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784546560).

438769440 is an abundant number, since it is smaller than the sum of its proper divisors (1130323680).

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

438769440 is a wasteful number, since it uses less digits than its factorization.

438769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 438769440 is about 20946.8241029517. The cubic root of 438769440 is about 759.8807753882.

The spelling of 438769440 in words is "four hundred thirty-eight million, seven hundred sixty-nine thousand, four hundred forty".