42457760 has 48 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 16763136.

The previous prime is 42457741. The next prime is 42457763. The reversal of 42457760 is 6775424.

It is a super-2 number, since 2×42457760² = 3605322768435200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42457760.

It is not an unprimeable number, because it can be changed into a prime (42457763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10961 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^42457760 is an apocalyptic number.

42457760 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 42457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

42457760 is an abundant number, since it is smaller than the sum of its proper divisors (59148640).

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

42457760 is a wasteful number, since it uses less digits than its factorization.

42457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 42457760 is about 6515.9619397292. The cubic root of 42457760 is about 348.8609501265.

The spelling of 42457760 in words is "forty-two million, four hundred fifty-seven thousand, seven hundred sixty".