181461400 has 144 divisors (see below), whose sum is σ = 479266200. Its totient is φ = 63498240.

The previous prime is 181461377. The next prime is 181461433. The reversal of 181461400 is 4164181.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3423774 + ... + 3423826.

Almost surely, 2^181461400 is an apocalyptic number.

181461400 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 181461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239633100).

181461400 is an abundant number, since it is smaller than the sum of its proper divisors (297804800).

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

181461400 is a wasteful number, since it uses less digits than its factorization.

181461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 181461400 is about 13470.7609287672. The cubic root of 181461400 is about 566.1455339612.

The spelling of 181461400 in words is "one hundred eighty-one million, four hundred sixty-one thousand, four hundred".