446381376 has 168 divisors, whose sum is σ = 1455212736. Its totient is φ = 119992320.

The previous prime is 446381371. The next prime is 446381381. The reversal of 446381376 is 673183644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (446381371) and next prime (446381381).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446381371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158541 + ... + 161331.

Almost surely, 2^446381376 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 446381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727606368).

446381376 is an abundant number, since it is smaller than the sum of its proper divisors (1008831360).

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

446381376 is a wasteful number, since it uses less digits than its factorization.

446381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2820 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 446381376 is about 21127.7394910104. The cubic root of 446381376 is about 764.2498383403.

The spelling of 446381376 in words is "four hundred forty-six million, three hundred eighty-one thousand, three hundred seventy-six".