436061664 has 96 divisors (see below), whose sum is σ = 1275886080. Its totient is φ = 144892800.

The previous prime is 436061663. The next prime is 436061671. The reversal of 436061664 is 466160634.

436061664 is a `hidden beast` number, since 4 + 36 + 0 + 616 + 6 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436061663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371799 + ... + 372969.

It is an arithmetic number, because the mean of its divisors is an integer number (13290480).

Almost surely, 2^436061664 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 436061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637943040).

436061664 is an abundant number, since it is smaller than the sum of its proper divisors (839824416).

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

436061664 is a wasteful number, since it uses less digits than its factorization.

436061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 436061664 is about 20882.0895506173. The cubic root of 436061664 is about 758.3143990872.

The spelling of 436061664 in words is "four hundred thirty-six million, sixty-one thousand, six hundred sixty-four".