42384480 has 48 divisors (see below), whose sum is σ = 133512624. Its totient is φ = 11302400.

The previous prime is 42384467. The next prime is 42384493. The reversal of 42384480 is 8448324.

It is an interprime number because it is at equal distance from previous prime (42384467) and next prime (42384493).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43671 + ... + 44630.

It is an arithmetic number, because the mean of its divisors is an integer number (2781513).

Almost surely, 2^42384480 is an apocalyptic number.

42384480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42384480 is an abundant number, since it is smaller than the sum of its proper divisors (91128144).

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

42384480 is a wasteful number, since it uses less digits than its factorization.

42384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88319 (or 88311 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 42384480 is about 6510.3363968385. The cubic root of 42384480 is about 348.6601289476.

The spelling of 42384480 in words is "forty-two million, three hundred eighty-four thousand, four hundred eighty".