162338400 has 216 divisors, whose sum is σ = 654426864. Its totient is φ = 37094400.

The previous prime is 162338381. The next prime is 162338401. The reversal of 162338400 is 4833261.

It is a happy number.

162338400 is a `hidden beast` number, since 1 + 623 + 38 + 4 + 0 + 0 = 666.

162338400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162338400² = 52707512229120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162338401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48790 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (3029754).

Almost surely, 2^162338400 is an apocalyptic number.

162338400 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 162338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327213432).

162338400 is an abundant number, since it is smaller than the sum of its proper divisors (492088464).

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

162338400 is a wasteful number, since it uses less digits than its factorization.

162338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 162338400 is about 12741.2087338682. The cubic root of 162338400 is about 545.5154901600.

The spelling of 162338400 in words is "one hundred sixty-two million, three hundred thirty-eight thousand, four hundred".