442887400 has 48 divisors (see below), whose sum is σ = 1090292940. Its totient is φ = 166732800.

The previous prime is 442887377. The next prime is 442887413. The reversal of 442887400 is 4788244.

It can be written as a sum of positive squares in 6 ways, for example, as 265624804 + 177262596 = 16298^2 + 13314^2 .

It is a super-3 number, since 3×442887400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 442887400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61731 + ... + 68530.

Almost surely, 2^442887400 is an apocalyptic number.

442887400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442887400 is an abundant number, since it is smaller than the sum of its proper divisors (647405540).

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

442887400 is a wasteful number, since it uses less digits than its factorization.

442887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130294 (or 130285 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 442887400 is about 21044.8901161303. The cubic root of 442887400 is about 762.2506001511.

The spelling of 442887400 in words is "four hundred forty-two million, eight hundred eighty-seven thousand, four hundred".