42775200 has 216 divisors, whose sum is σ = 162794268. Its totient is φ = 10506240.

The previous prime is 42775163. The next prime is 42775237. The reversal of 42775200 is 257724.

It is an interprime number because it is at equal distance from previous prime (42775163) and next prime (42775237).

It can be written as a sum of positive squares in 6 ways, for example, as 15776784 + 26998416 = 3972^2 + 5196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93372 + ... + 93828.

Almost surely, 2^42775200 is an apocalyptic number.

42775200 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 42775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81397134).

42775200 is an abundant number, since it is smaller than the sum of its proper divisors (120019068).

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

42775200 is a wasteful number, since it uses less digits than its factorization.

42775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42775200 is about 6540.2752235667. The cubic root of 42775200 is about 349.7282243945.

The spelling of 42775200 in words is "forty-two million, seven hundred seventy-five thousand, two hundred".