161438400 has 336 divisors, whose sum is σ = 610392480. Its totient is φ = 41472000.

The previous prime is 161438393. The next prime is 161438401. The reversal of 161438400 is 4834161.

161438400 is a `hidden beast` number, since 1 + 614 + 3 + 8 + 40 + 0 = 666.

161438400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161438401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598350 + ... + 1598450.

Almost surely, 2^161438400 is an apocalyptic number.

161438400 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 161438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305196240).

161438400 is an abundant number, since it is smaller than the sum of its proper divisors (448954080).

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

161438400 is a wasteful number, since it uses less digits than its factorization.

161438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 161438400 is about 12705.8411764039. The cubic root of 161438400 is about 544.5055133806.

The spelling of 161438400 in words is "one hundred sixty-one million, four hundred thirty-eight thousand, four hundred".