42302304 has 96 divisors (see below), whose sum is σ = 134628480. Its totient is φ = 12816000.

The previous prime is 42302257. The next prime is 42302311. The reversal of 42302304 is 40320324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7279 + ... + 11729.

It is an arithmetic number, because the mean of its divisors is an integer number (1402380).

Almost surely, 2^42302304 is an apocalyptic number.

42302304 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 42302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240).

42302304 is an abundant number, since it is smaller than the sum of its proper divisors (92326176).

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

42302304 is a wasteful number, since it uses less digits than its factorization.

42302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42302304 is about 6504.0221401837. The cubic root of 42302304 is about 348.4346530859.

Adding to 42302304 its reverse (40320324), we get a palindrome (82622628).

The spelling of 42302304 in words is "forty-two million, three hundred two thousand, three hundred four".