842958480 has 240 divisors, whose sum is σ = 3234971520. Its totient is φ = 177795072.

The previous prime is 842958461. The next prime is 842958491. The reversal of 842958480 is 84859248.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 282436 + ... + 285404.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2^842958480 is an apocalyptic number.

842958480 is a gapful number since it is divisible by the number (80) 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 842958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617485760).

842958480 is an abundant number, since it is smaller than the sum of its proper divisors (2392013040).

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

842958480 is a wasteful number, since it uses less digits than its factorization.

842958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 842958480 is about 29033.7472607309. The cubic root of 842958480 is about 944.6452126916.

The spelling of 842958480 in words is "eight hundred forty-two million, nine hundred fifty-eight thousand, four hundred eighty".