842054400 has 432 divisors, whose sum is σ = 3376033920. Its totient is φ = 203673600.

The previous prime is 842054377. The next prime is 842054413. The reversal of 842054400 is 4450248.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×842054400² = 1418111225118720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900579 + ... + 1901021.

Almost surely, 2^842054400 is an apocalyptic number.

842054400 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 842054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688016960).

842054400 is an abundant number, since it is smaller than the sum of its proper divisors (2533979520).

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

842054400 is a wasteful number, since it uses less digits than its factorization.

842054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 842054400 is about 29018.1736158567. The cubic root of 842054400 is about 944.3073785966.

The spelling of 842054400 in words is "eight hundred forty-two million, fifty-four thousand, four hundred".