42753440 has 48 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 16999680.

The previous prime is 42753427. The next prime is 42753443. The reversal of 42753440 is 4435724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29861 + ... + 31259.

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

Almost surely, 2^42753440 is an apocalyptic number.

42753440 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 42753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

42753440 is an abundant number, since it is smaller than the sum of its proper divisors (58852960).

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

42753440 is a wasteful number, since it uses less digits than its factorization.

42753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 42753440 is about 6538.6114733940. The cubic root of 42753440 is about 349.6689113895.

The spelling of 42753440 in words is "forty-two million, seven hundred fifty-three thousand, four hundred forty".