442355040 has 96 divisors (see below), whose sum is σ = 1548257760. Its totient is φ = 117960192.

The previous prime is 442354999. The next prime is 442355041. The reversal of 442355040 is 40553244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 442354995 and 442355013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442355041) 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, 46879 + ... + 55518.

It is an arithmetic number, because the mean of its divisors is an integer number (16127685).

Almost surely, 2^442355040 is an apocalyptic number.

442355040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442355040 is an abundant number, since it is smaller than the sum of its proper divisors (1105902720).

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

442355040 is a wasteful number, since it uses less digits than its factorization.

442355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102421 (or 102407 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442355040 is about 21032.2381120032. The cubic root of 442355040 is about 761.9450639296.

The spelling of 442355040 in words is "four hundred forty-two million, three hundred fifty-five thousand, forty".