42251760 has 160 divisors (see below), whose sum is σ = 150466560. Its totient is φ = 10886400.

The previous prime is 42251701. The next prime is 42251767. The reversal of 42251760 is 6715224.

It is a super-2 number, since 2×42251760² = 3570422446195200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42251767) 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, 66645 + ... + 67275.

It is an arithmetic number, because the mean of its divisors is an integer number (940416).

Almost surely, 2^42251760 is an apocalyptic number.

42251760 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 42251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75233280).

42251760 is an abundant number, since it is smaller than the sum of its proper divisors (108214800).

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

42251760 is a wasteful number, since it uses less digits than its factorization.

42251760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42251760 is about 6500.1353832055. The cubic root of 42251760 is about 348.2958245569.

Adding to 42251760 its reverse (6715224), we get a palindrome (48966984).

The spelling of 42251760 in words is "forty-two million, two hundred fifty-one thousand, seven hundred sixty".