842846400 has 504 divisors, whose sum is σ = 3471300144. Its totient is φ = 191692800.

The previous prime is 842846369. The next prime is 842846423. The reversal of 842846400 is 4648248.

842846400 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692644 + ... + 2692956.

Almost surely, 2^842846400 is an apocalyptic number.

842846400 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 842846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735650072).

842846400 is an abundant number, since it is smaller than the sum of its proper divisors (2628453744).

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

842846400 is a wasteful number, since it uses less digits than its factorization.

842846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 842846400 is about 29031.8170289081. The cubic root of 842846400 is about 944.6033440703.

Subtracting from 842846400 its product of nonzero digits (49152), we obtain a palindrome (842797248).

The spelling of 842846400 in words is "eight hundred forty-two million, eight hundred forty-six thousand, four hundred".