342588480 has 224 divisors, whose sum is σ = 1187647104. Its totient is φ = 83165184.

The previous prime is 342588479. The next prime is 342588517. The reversal of 342588480 is 84885243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210419 + ... + 1210701.

It is an arithmetic number, because the mean of its divisors is an integer number (5301996).

Almost surely, 2^342588480 is an apocalyptic number.

342588480 is a gapful number since it is divisible by the number (30) 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 342588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593823552).

342588480 is an abundant number, since it is smaller than the sum of its proper divisors (845058624).

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

342588480 is a wasteful number, since it uses less digits than its factorization.

342588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 342588480 is about 18509.1458473912. The cubic root of 342588480 is about 699.7199423906.

The spelling of 342588480 in words is "three hundred forty-two million, five hundred eighty-eight thousand, four hundred eighty".