42306480 has 120 divisors (see below), whose sum is σ = 144364272. Its totient is φ = 11100672.

The previous prime is 42306469. The next prime is 42306491. The reversal of 42306480 is 8460324.

It is an interprime number because it is at equal distance from previous prime (42306469) and next prime (42306491).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 47802 + ... + 48678.

Almost surely, 2^42306480 is an apocalyptic number.

42306480 is a gapful number since it is divisible by the number (40) 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 42306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182136).

42306480 is an abundant number, since it is smaller than the sum of its proper divisors (102057792).

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

42306480 is a wasteful number, since it uses less digits than its factorization.

42306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42306480 is about 6504.3431643787. The cubic root of 42306480 is about 348.4461183025.

The spelling of 42306480 in words is "forty-two million, three hundred six thousand, four hundred eighty".