281652480 has 216 divisors, whose sum is σ = 1017813888. Its totient is φ = 71774208.

The previous prime is 281652467. The next prime is 281652487. The reversal of 281652480 is 84256182.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281652487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264429 + ... + 265491.

Almost surely, 2^281652480 is an apocalyptic number.

281652480 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 281652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944).

281652480 is an abundant number, since it is smaller than the sum of its proper divisors (736161408).

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

281652480 is a wasteful number, since it uses less digits than its factorization.

281652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 281652480 is about 16782.5051765224. The cubic root of 281652480 is about 655.4977317357.

The spelling of 281652480 in words is "two hundred eighty-one million, six hundred fifty-two thousand, four hundred eighty".