42493410 has 128 divisors (see below), whose sum is σ = 120441600. Its totient is φ = 10777536.

The previous prime is 42493391. The next prime is 42493411. The reversal of 42493410 is 1439424.

42493410 is a `hidden beast` number, since 4 + 249 + 3 + 410 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42493411) 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 63 ways as a sum of consecutive naturals, for example, 634197 + ... + 634263.

It is an arithmetic number, because the mean of its divisors is an integer number (940950).

Almost surely, 2^42493410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42493410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60220800).

42493410 is an abundant number, since it is smaller than the sum of its proper divisors (77948190).

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

42493410 is an equidigital number, since it uses as much as digits as its factorization.

42493410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42493410 is about 6518.6969556806. The cubic root of 42493410 is about 348.9585641126.

The spelling of 42493410 in words is "forty-two million, four hundred ninety-three thousand, four hundred ten".