436374144 has 96 divisors (see below), whose sum is σ = 1273158900. Its totient is φ = 143437824.

The previous prime is 436374097. The next prime is 436374151. The reversal of 436374144 is 441473634.

436374144 is a `hidden beast` number, since 4 + 3 + 637 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 421070400 + 15303744 = 20520^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×436374144³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 436374099 and 436374108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81502 + ... + 86690.

Almost surely, 2^436374144 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 436374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636579450).

436374144 is an abundant number, since it is smaller than the sum of its proper divisors (836784756).

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

436374144 is a wasteful number, since it uses less digits than its factorization.

436374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5267 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 436374144 is about 20889.5702205670. The cubic root of 436374144 is about 758.4954908336.

The spelling of 436374144 in words is "four hundred thirty-six million, three hundred seventy-four thousand, one hundred forty-four".