42604992 has 168 divisors, whose sum is σ = 136702800. Its totient is φ = 12607488.

The previous prime is 42604967. The next prime is 42604997. The reversal of 42604992 is 29940624.

42604992 is a `hidden beast` number, since 42 + 604 + 9 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (42604997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185934 + ... + 186162.

Almost surely, 2^42604992 is an apocalyptic number.

42604992 is the 3264-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68351400).

42604992 is an abundant number, since it is smaller than the sum of its proper divisors (94097808).

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

42604992 is a wasteful number, since it uses less digits than its factorization.

42604992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

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

The square root of 42604992 is about 6527.2499569114. The cubic root of 42604992 is about 349.2637366291.

It can be divided in two parts, 4 and 2604992, that added together give a square (2604996 = 1614²).

The spelling of 42604992 in words is "forty-two million, six hundred four thousand, nine hundred ninety-two".