842160400 has 45 divisors (see below), whose sum is σ = 2024685733. Its totient is φ = 336632000.

The previous prime is 842160379. The next prime is 842160409. The reversal of 842160400 is 4061248.

The square root of 842160400 is 29020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 303177744 + 538982656 = 17412^2 + 23216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842160409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 579675 + ... + 581125.

Almost surely, 2^842160400 is an apocalyptic number.

842160400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

842160400 is the 29020-th square number.

It is an amenable number.

842160400 is an abundant number, since it is smaller than the sum of its proper divisors (1182525333).

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

842160400 is an equidigital number, since it uses as much as digits as its factorization.

842160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 842160400 is about 944.3470008911.

Multiplying 842160400 by its sum of digits (25), we get a square (21054010000 = 145100²).

842160400 divided by its sum of digits (25) gives a square (33686416 = 5804²).

The spelling of 842160400 in words is "eight hundred forty-two million, one hundred sixty thousand, four hundred".