442879080 has 64 divisors (see below), whose sum is σ = 1518445440. Its totient is φ = 101229312.

The previous prime is 442879057. The next prime is 442879081. The reversal of 442879080 is 80978244.

It is a super-2 number, since 2×442879080² = 392283759003292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (442879081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262779 + ... + 264458.

It is an arithmetic number, because the mean of its divisors is an integer number (23725710).

Almost surely, 2^442879080 is an apocalyptic number.

442879080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442879080 is an abundant number, since it is smaller than the sum of its proper divisors (1075566360).

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

442879080 is a wasteful number, since it uses less digits than its factorization.

442879080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527258 (or 527254 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 442879080 is about 21044.6924425139. The cubic root of 442879080 is about 762.2458269554.

The spelling of 442879080 in words is "four hundred forty-two million, eight hundred seventy-nine thousand, eighty".