42445920 has 96 divisors (see below), whose sum is σ = 145877760. Its totient is φ = 10288640.

The previous prime is 42445903. The next prime is 42445927. The reversal of 42445920 is 2954424.

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

It is a super-2 number, since 2×42445920² = 3603312249292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42445927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 2^42445920 is an apocalyptic number.

42445920 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 42445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72938880).

42445920 is an abundant number, since it is smaller than the sum of its proper divisors (103431840).

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

42445920 is a wasteful number, since it uses less digits than its factorization.

42445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42445920 is about 6515.0533382314. The cubic root of 42445920 is about 348.8285186962.

It can be divided in two parts, 42445 and 920, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42445920 in words is "forty-two million, four hundred forty-five thousand, nine hundred twenty".