423042480 has 320 divisors, whose sum is σ = 1702272000. Its totient is φ = 96526080.

The previous prime is 423042479. The next prime is 423042481. The reversal of 423042480 is 84240324.

It is a happy number.

423042480 is a `hidden beast` number, since 4 + 230 + 424 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (423042479) and next prime (423042481).

It is a super-3 number, since 3×423042480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (423042481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740595 + ... + 741165.

It is an arithmetic number, because the mean of its divisors is an integer number (5319600).

Almost surely, 2^423042480 is an apocalyptic number.

423042480 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 423042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851136000).

423042480 is an abundant number, since it is smaller than the sum of its proper divisors (1279229520).

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

423042480 is a wasteful number, since it uses less digits than its factorization.

423042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 423042480 is about 20567.9964994163. The cubic root of 423042480 is about 750.6912027892.

The spelling of 423042480 in words is "four hundred twenty-three million, forty-two thousand, four hundred eighty".