42892900 has 36 divisors (see below), whose sum is σ = 94845492. Its totient is φ = 16831360.

The previous prime is 42892897. The next prime is 42892901. The reversal of 42892900 is 929824.

It can be written as a sum of positive squares in 6 ways, for example, as 147456 + 42745444 = 384^2 + 6538^2 .

It is not an unprimeable number, because it can be changed into a prime (42892901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 9346.

It is an arithmetic number, because the mean of its divisors is an integer number (2634597).

Almost surely, 2^42892900 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 42892900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47422746).

42892900 is an abundant number, since it is smaller than the sum of its proper divisors (51952592).

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

42892900 is a wasteful number, since it uses less digits than its factorization.

42892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 42892900 is about 6549.2671345732. The cubic root of 42892900 is about 350.0487007062.

The spelling of 42892900 in words is "forty-two million, eight hundred ninety-two thousand, nine hundred".