42905700 has 90 divisors (see below), whose sum is σ = 139109586. Its totient is φ = 11439360.

The previous prime is 42905683. The next prime is 42905713. The reversal of 42905700 is 750924.

42905700 is a `hidden beast` number, since 4 + 2 + 90 + 570 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7193124 + 35712576 = 2682^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5452 + ... + 10748.

Almost surely, 2^42905700 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 42905700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69554793).

42905700 is an abundant number, since it is smaller than the sum of its proper divisors (96203886).

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

42905700 is a wasteful number, since it uses less digits than its factorization.

42905700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 42905700 is about 6550.2442702544. The cubic root of 42905700 is about 350.0835174843.

The spelling of 42905700 in words is "forty-two million, nine hundred five thousand, seven hundred".