442253088 has 48 divisors (see below), whose sum is σ = 1289907360. Its totient is φ = 147417408.

The previous prime is 442253069. The next prime is 442253089. The reversal of 442253088 is 880352244.

442253088 is a `hidden beast` number, since 4 + 42 + 2 + 530 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×442253088³ (a number of 27 digits) contains 333 as substring.

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 (442253089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255070 + ... + 256797.

It is an arithmetic number, because the mean of its divisors is an integer number (26873070).

Almost surely, 2^442253088 is an apocalyptic number.

442253088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442253088 is an abundant number, since it is smaller than the sum of its proper divisors (847654272).

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

442253088 is a wasteful number, since it uses less digits than its factorization.

442253088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511886 (or 511872 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 442253088 is about 21029.8142645150. The cubic root of 442253088 is about 761.8865228749.

The spelling of 442253088 in words is "four hundred forty-two million, two hundred fifty-three thousand, eighty-eight".