438494160 has 240 divisors, whose sum is σ = 1552132800. Its totient is φ = 102076416.

The previous prime is 438494159. The next prime is 438494191. The reversal of 438494160 is 61494834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770356 + ... + 770924.

It is an arithmetic number, because the mean of its divisors is an integer number (6467220).

Almost surely, 2^438494160 is an apocalyptic number.

438494160 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 438494160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776066400).

438494160 is an abundant number, since it is smaller than the sum of its proper divisors (1113638640).

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

438494160 is a wasteful number, since it uses less digits than its factorization.

438494160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 438494160 is about 20940.2521474790. The cubic root of 438494160 is about 759.7218280217.

The spelling of 438494160 in words is "four hundred thirty-eight million, four hundred ninety-four thousand, one hundred sixty".