42935700 has 72 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 11367680.

The previous prime is 42935699. The next prime is 42935701. The reversal of 42935700 is 753924.

It is an interprime number because it is at equal distance from previous prime (42935699) and next prime (42935701).

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 (42935701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49672 + ... + 50528.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^42935700 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 42935700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

42935700 is an abundant number, since it is smaller than the sum of its proper divisors (82181292).

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

42935700 is a wasteful number, since it uses less digits than its factorization.

42935700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 42935700 is about 6552.5338610342. The cubic root of 42935700 is about 350.1650921831.

The spelling of 42935700 in words is "forty-two million, nine hundred thirty-five thousand, seven hundred".