42953820 has 96 divisors (see below), whose sum is σ = 148044288. Its totient is φ = 9061632.

The previous prime is 42953809. The next prime is 42953837. The reversal of 42953820 is 2835924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527 + ... + 9393.

It is an arithmetic number, because the mean of its divisors is an integer number (1542128).

Almost surely, 2^42953820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42953820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74022144).

42953820 is an abundant number, since it is smaller than the sum of its proper divisors (105090468).

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

42953820 is a wasteful number, since it uses less digits than its factorization.

42953820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 42953820 is about 6553.9163864059. The cubic root of 42953820 is about 350.2143448959.

The spelling of 42953820 in words is "forty-two million, nine hundred fifty-three thousand, eight hundred twenty".