42991300 has 144 divisors (see below), whose sum is σ = 114367680. Its totient is φ = 13939200.

The previous prime is 42991297. The next prime is 42991307. The reversal of 42991300 is 319924.

42991300 = T₄₁₆ + T₄₁₇ + ... + T₆₉₀.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42991307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262691 + ... + 2262709.

It is an arithmetic number, because the mean of its divisors is an integer number (794220).

Almost surely, 2^42991300 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 42991300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183840).

42991300 is an abundant number, since it is smaller than the sum of its proper divisors (71376380).

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

42991300 is a wasteful number, since it uses less digits than its factorization.

42991300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 42991300 is about 6556.7751219635. The cubic root of 42991300 is about 350.3161768767.

The spelling of 42991300 in words is "forty-two million, nine hundred ninety-one thousand, three hundred".