42312480 has 192 divisors, whose sum is σ = 156038400. Its totient is φ = 9633792.

The previous prime is 42312437. The next prime is 42312481. The reversal of 42312480 is 8421324.

It is a super-3 number, since 3×42312480³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42312480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164512 + ... + 164768.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^42312480 is an apocalyptic number.

42312480 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 42312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019200).

42312480 is an abundant number, since it is smaller than the sum of its proper divisors (113725920).

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

42312480 is a wasteful number, since it uses less digits than its factorization.

42312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42312480 is about 6504.8043783038. The cubic root of 42312480 is about 348.4625899942.

The spelling of 42312480 in words is "forty-two million, three hundred twelve thousand, four hundred eighty".