162294400 has 96 divisors (see below), whose sum is σ = 411028380. Its totient is φ = 63283200.

The previous prime is 162294397. The next prime is 162294401. The reversal of 162294400 is 4492261.

It can be written as a sum of positive squares in 6 ways, for example, as 36675136 + 125619264 = 6056^2 + 11208^2 .

It is not an unprimeable number, because it can be changed into a prime (162294401) 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 11 ways as a sum of consecutive naturals, for example, 130582 + ... + 131818.

Almost surely, 2^162294400 is an apocalyptic number.

162294400 is a gapful number since it is divisible by the number (10) 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 162294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205514190).

162294400 is an abundant number, since it is smaller than the sum of its proper divisors (248733980).

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

162294400 is a wasteful number, since it uses less digits than its factorization.

162294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 162294400 is about 12739.4819360914. The cubic root of 162294400 is about 545.4662004244.

The spelling of 162294400 in words is "one hundred sixty-two million, two hundred ninety-four thousand, four hundred".