442375920 has 180 divisors, whose sum is σ = 1728338040. Its totient is φ = 101106432.

The previous prime is 442375919. The next prime is 442375933. The reversal of 442375920 is 29573244.

442375920 is a `hidden beast` number, since 44 + 23 + 7 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29011 + ... + 41549.

It is an arithmetic number, because the mean of its divisors is an integer number (9601878).

Almost surely, 2^442375920 is an apocalyptic number.

442375920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864169020).

442375920 is an abundant number, since it is smaller than the sum of its proper divisors (1285962120).

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

442375920 is a wasteful number, since it uses less digits than its factorization.

442375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 442375920 is about 21032.7344869848. The cubic root of 442375920 is about 761.9570521602.

The spelling of 442375920 in words is "four hundred forty-two million, three hundred seventy-five thousand, nine hundred twenty".