42460992 has 84 divisors (see below), whose sum is σ = 139106656. Its totient is φ = 12130560.

The previous prime is 42460987. The next prime is 42460997. The reversal of 42460992 is 29906424.

42460992 is a `hidden beast` number, since 42 + 4 + 609 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42460987) and next prime (42460997).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×42460992³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234 + ... + 9297.

Almost surely, 2^42460992 is an apocalyptic number.

42460992 is a gapful number since it is divisible by the number (42) 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 42460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69553328).

42460992 is an abundant number, since it is smaller than the sum of its proper divisors (96645664).

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

42460992 is a wasteful number, since it uses less digits than its factorization.

42460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42460992 is about 6516.2099413693. The cubic root of 42460992 is about 348.8698019829.

It can be divided in two parts, 424 and 60992, that added together give a palindrome (61416).

The spelling of 42460992 in words is "forty-two million, four hundred sixty thousand, nine hundred ninety-two".