42964992 has 240 divisors, whose sum is σ = 150630480. Its totient is φ = 11943936.

The previous prime is 42964963. The next prime is 42964997. The reversal of 42964992 is 29946924.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42964997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161198 + ... + 1161234.

It is an arithmetic number, because the mean of its divisors is an integer number (627627).

Almost surely, 2^42964992 is an apocalyptic number.

42964992 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 42964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75315240).

42964992 is an abundant number, since it is smaller than the sum of its proper divisors (107665488).

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

42964992 is an equidigital number, since it uses as much as digits as its factorization.

42964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 42964992 is about 6554.7686458028. The cubic root of 42964992 is about 350.2447050633.

It can be divided in two parts, 42964 and 992, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 42964992 in words is "forty-two million, nine hundred sixty-four thousand, nine hundred ninety-two".