42460704 has 144 divisors (see below), whose sum is σ = 141994944. Its totient is φ = 11865600.

The previous prime is 42460699. The next prime is 42460709. The reversal of 42460704 is 40706424.

It is an interprime number because it is at equal distance from previous prime (42460699) and next prime (42460709).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×42460704³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42460709) 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 23 ways as a sum of consecutive naturals, for example, 40669 + ... + 41699.

It is an arithmetic number, because the mean of its divisors is an integer number (986076).

Almost surely, 2^42460704 is an apocalyptic number.

42460704 is a gapful number since it is divisible by the number (44) 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 42460704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472).

42460704 is an abundant number, since it is smaller than the sum of its proper divisors (99534240).

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

42460704 is a wasteful number, since it uses less digits than its factorization.

42460704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42460704 is about 6516.1878425963. The cubic root of 42460704 is about 348.8690132219.

The spelling of 42460704 in words is "forty-two million, four hundred sixty thousand, seven hundred four".