442666400 has 216 divisors, whose sum is σ = 1262380140. Its totient is φ = 150937600.

The previous prime is 442666397. The next prime is 442666507. The reversal of 442666400 is 4666244.

It can be written as a sum of positive squares in 6 ways, for example, as 112444816 + 330221584 = 10604^2 + 18172^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1645466 + ... + 1645734.

Almost surely, 2^442666400 is an apocalyptic number.

442666400 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 442666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631190070).

442666400 is an abundant number, since it is smaller than the sum of its proper divisors (819713740).

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

442666400 is a wasteful number, since it uses less digits than its factorization.

442666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 442666400 is about 21039.6387801692. The cubic root of 442666400 is about 762.1237918395.

The spelling of 442666400 in words is "four hundred forty-two million, six hundred sixty-six thousand, four hundred".