281214972 has 72 divisors (see below), whose sum is σ = 774118800. Its totient is φ = 85736448.

The previous prime is 281214971. The next prime is 281215031. The reversal of 281214972 is 279412182.

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 (281214971) 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, 12748 + ... + 26924.

It is an arithmetic number, because the mean of its divisors is an integer number (10751650).

Almost surely, 2^281214972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281214972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387059400).

281214972 is an abundant number, since it is smaller than the sum of its proper divisors (492903828).

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

281214972 is a wasteful number, since it uses less digits than its factorization.

281214972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14235 (or 14230 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 281214972 is about 16769.4654655418. The cubic root of 281214972 is about 655.1581476216.

The spelling of 281214972 in words is "two hundred eighty-one million, two hundred fourteen thousand, nine hundred seventy-two".