42446720 has 64 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 16386048.

The previous prime is 42446713. The next prime is 42446731. The reversal of 42446720 is 2764424.

42446720 = T₉₄₄ + T₉₄₅ + ... + T₁₀₃₀.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17417 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (1640925).

Almost surely, 2^42446720 is an apocalyptic number.

42446720 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 42446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

42446720 is an abundant number, since it is smaller than the sum of its proper divisors (62572480).

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

42446720 is a wasteful number, since it uses less digits than its factorization.

42446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 42446720 is about 6515.1147342161. The cubic root of 42446720 is about 348.8307101990.

The spelling of 42446720 in words is "forty-two million, four hundred forty-six thousand, seven hundred twenty".