281406400 has 168 divisors, whose sum is σ = 771022080. Its totient is φ = 100224000.

The previous prime is 281406373. The next prime is 281406407. The reversal of 281406400 is 4604182.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281406407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038265 + ... + 1038535.

Almost surely, 2^281406400 is an apocalyptic number.

281406400 is a gapful number since it is divisible by the number (20) 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 281406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385511040).

281406400 is an abundant number, since it is smaller than the sum of its proper divisors (489615680).

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

281406400 is a wasteful number, since it uses less digits than its factorization.

281406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

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

The square root of 281406400 is about 16775.1721302644. The cubic root of 281406400 is about 655.3067731449.

The spelling of 281406400 in words is "two hundred eighty-one million, four hundred six thousand, four hundred".