42945420 has 48 divisors (see below), whose sum is σ = 137426688. Its totient is φ = 9816000.

The previous prime is 42945401. The next prime is 42945421. The reversal of 42945420 is 2454924.

42945420 = T₁₅₄₉ + T₁₅₅₀ + ... + T₁₅₈₃.

42945420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42945421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50706 + ... + 51545.

It is an arithmetic number, because the mean of its divisors is an integer number (2863056).

Almost surely, 2^42945420 is an apocalyptic number.

It is an amenable number.

42945420 is an abundant number, since it is smaller than the sum of its proper divisors (94481268).

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

42945420 is a wasteful number, since it uses less digits than its factorization.

42945420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102270 (or 102268 counting only the distinct ones).

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

The square root of 42945420 is about 6553.2755168694. The cubic root of 42945420 is about 350.1915142351.

It can be divided in two parts, 42945 and 420, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42945420 in words is "forty-two million, nine hundred forty-five thousand, four hundred twenty".