42435900 has 270 divisors, whose sum is σ = 153760992. Its totient is φ = 10108800.

The previous prime is 42435863. The next prime is 42435937. The reversal of 42435900 is 953424.

It is an interprime number because it is at equal distance from previous prime (42435863) and next prime (42435937).

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1368885 + ... + 1368915.

Almost surely, 2^42435900 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 42435900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76880496).

42435900 is an abundant number, since it is smaller than the sum of its proper divisors (111325092).

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

42435900 is a wasteful number, since it uses less digits than its factorization.

42435900 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 4320, while the sum is 27.

The square root of 42435900 is about 6514.2843045111. The cubic root of 42435900 is about 348.8010677905.

The spelling of 42435900 in words is "forty-two million, four hundred thirty-five thousand, nine hundred".