442476360 has 192 divisors, whose sum is σ = 1480518000. Its totient is φ = 114573312.

The previous prime is 442476347. The next prime is 442476367. The reversal of 442476360 is 63674244.

It can be written as a sum of positive squares in 8 ways, for example, as 18198756 + 424277604 = 4266^2 + 20598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442476367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2969566 + ... + 2969714.

Almost surely, 2^442476360 is an apocalyptic number.

442476360 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 442476360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740259000).

442476360 is an abundant number, since it is smaller than the sum of its proper divisors (1038041640).

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

442476360 is a wasteful number, since it uses less digits than its factorization.

442476360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 442476360 is about 21035.1220581198. The cubic root of 442476360 is about 762.0147144120.

The spelling of 442476360 in words is "four hundred forty-two million, four hundred seventy-six thousand, three hundred sixty".