442437408 has 72 divisors (see below), whose sum is σ = 1437928128. Its totient is φ = 126410112.

The previous prime is 442437371. The next prime is 442437433. The reversal of 442437408 is 804734244.

It is a happy number.

442437408 is a `hidden beast` number, since 4 + 4 + 243 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×442437408³ (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107716 + ... + 111747.

It is an arithmetic number, because the mean of its divisors is an integer number (19971224).

Almost surely, 2^442437408 is an apocalyptic number.

442437408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442437408 is an abundant number, since it is smaller than the sum of its proper divisors (995490720).

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

442437408 is a wasteful number, since it uses less digits than its factorization.

442437408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219486 (or 219475 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 442437408 is about 21034.1961576857. The cubic root of 442437408 is about 761.9923532413.

The spelling of 442437408 in words is "four hundred forty-two million, four hundred thirty-seven thousand, four hundred eight".