438995902464 has 672 divisors, whose sum is σ = 1562400313344. Its totient is φ = 116006584320.

The previous prime is 438995902463. The next prime is 438995902507. The reversal of 438995902464 is 464209599834.

438995902464 is a `hidden beast` number, since 4 + 3 + 89 + 9 + 5 + 90 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438995902463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367975852 + ... + 367977044.

Almost surely, 2^438995902464 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 438995902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200156672).

438995902464 is an abundant number, since it is smaller than the sum of its proper divisors (1123404410880).

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

438995902464 is a wasteful number, since it uses less digits than its factorization.

438995902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 438995902464 in words is "four hundred thirty-eight billion, nine hundred ninety-five million, nine hundred two thousand, four hundred sixty-four".