446977440 has 480 divisors, whose sum is σ = 1946609280. Its totient is φ = 94058496.

The previous prime is 446977429. The next prime is 446977441. The reversal of 446977440 is 44779644.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446977441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179171 + ... + 1179549.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^446977440 is an apocalyptic number.

446977440 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 446977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973304640).

446977440 is an abundant number, since it is smaller than the sum of its proper divisors (1499631840).

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

446977440 is a wasteful number, since it uses less digits than its factorization.

446977440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 446977440 is about 21141.8409794417. The cubic root of 446977440 is about 764.5898608898.

The spelling of 446977440 in words is "four hundred forty-six million, nine hundred seventy-seven thousand, four hundred forty".