446561424 has 75 divisors (see below), whose sum is σ = 1294683907. Its totient is φ = 148600224.

The previous prime is 446561413. The next prime is 446561431. The reversal of 446561424 is 424165644.

The square root of 446561424 is 21132.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 760459 + ... + 761045.

Almost surely, 2^446561424 is an apocalyptic number.

446561424 is the 21132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446561424

446561424 is an abundant number, since it is smaller than the sum of its proper divisors (848122483).

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

446561424 is an frugal number, since it uses more digits than its factorization.

446561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 592 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The cubic root of 446561424 is about 764.3525779600.

Multiplying 446561424 by its sum of digits (36), we get a square (16076211264 = 126792²).

446561424 divided by its sum of digits (36) gives a square (12404484 = 3522²).

It can be divided in two parts, 446561 and 424, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 446561424 in words is "four hundred forty-six million, five hundred sixty-one thousand, four hundred twenty-four".