842100480 has 216 divisors, whose sum is σ = 3138259488. Its totient is φ = 207249408.

The previous prime is 842100437. The next prime is 842100481. The reversal of 842100480 is 84001248.

842100480 is a `hidden beast` number, since 84 + 2 + 100 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842100481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146949 + ... + 152571.

Almost surely, 2^842100480 is an apocalyptic number.

842100480 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 842100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569129744).

842100480 is an abundant number, since it is smaller than the sum of its proper divisors (2296159008).

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

842100480 is a wasteful number, since it uses less digits than its factorization.

842100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 842100480 is about 29018.9675901814. The cubic root of 842100480 is about 944.3246034893.

The spelling of 842100480 in words is "eight hundred forty-two million, one hundred thousand, four hundred eighty".