42364000 has 192 divisors, whose sum is σ = 127370880. Its totient is φ = 13516800.

The previous prime is 42363989. The next prime is 42364009. The reversal of 42364000 is 46324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42364009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475956 + ... + 476044.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^42364000 is an apocalyptic number.

42364000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42364000 is an abundant number, since it is smaller than the sum of its proper divisors (85006880).

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

42364000 is a wasteful number, since it uses less digits than its factorization.

42364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 42364000 is about 6508.7633233972. The cubic root of 42364000 is about 348.6039628711.

The spelling of 42364000 in words is "forty-two million, three hundred sixty-four thousand".