442470400 has 156 divisors (see below), whose sum is σ = 1142644500. Its totient is φ = 169738240.

The previous prime is 442470397. The next prime is 442470403. The reversal of 442470400 is 4074244.

It is an interprime number because it is at equal distance from previous prime (442470397) and next prime (442470403).

It can be written as a sum of positive squares in 6 ways, for example, as 51380224 + 391090176 = 7168^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (442470403) 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 11 ways as a sum of consecutive naturals, for example, 2969526 + ... + 2969674.

Almost surely, 2^442470400 is an apocalyptic number.

442470400 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 442470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571322250).

442470400 is an abundant number, since it is smaller than the sum of its proper divisors (700174100).

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

442470400 is a wasteful number, since it uses less digits than its factorization.

442470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 442470400 is about 21034.9803898173. The cubic root of 442470400 is about 762.0112930404.

The spelling of 442470400 in words is "four hundred forty-two million, four hundred seventy thousand, four hundred".