42436900 has 72 divisors (see below), whose sum is σ = 101493504. Its totient is φ = 15273600.

The previous prime is 42436897. The next prime is 42436903. The reversal of 42436900 is 963424.

It is an interprime number because it is at equal distance from previous prime (42436897) and next prime (42436903).

It is a super-2 number, since 2×42436900² = 3601780963220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42436903) 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, 190189 + ... + 190411.

It is an arithmetic number, because the mean of its divisors is an integer number (1409632).

Almost surely, 2^42436900 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 42436900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746752).

42436900 is an abundant number, since it is smaller than the sum of its proper divisors (59056604).

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

42436900 is a wasteful number, since it uses less digits than its factorization.

42436900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 42436900 is about 6514.3610584615. The cubic root of 42436900 is about 348.8038075960.

It can be divided in two parts, 42436 and 900, that multiplied together give a square (38192400 = 6180²).

The spelling of 42436900 in words is "forty-two million, four hundred thirty-six thousand, nine hundred".