446720400 has 480 divisors, whose sum is σ = 1918924800. Its totient is φ = 96422400.

The previous prime is 446720389. The next prime is 446720401. The reversal of 446720400 is 4027644.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446720401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436245 + ... + 1436555.

It is an arithmetic number, because the mean of its divisors is an integer number (3997760).

Almost surely, 2^446720400 is an apocalyptic number.

446720400 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 446720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959462400).

446720400 is an abundant number, since it is smaller than the sum of its proper divisors (1472204400).

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

446720400 is a wasteful number, since it uses less digits than its factorization.

446720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 446720400 is about 21135.7611644341. The cubic root of 446720400 is about 764.4432704472.

The spelling of 446720400 in words is "four hundred forty-six million, seven hundred twenty thousand, four hundred".