282472164 has 96 divisors (see below), whose sum is σ = 830256000. Its totient is φ = 82332288.

The previous prime is 282472147. The next prime is 282472181. The reversal of 282472164 is 461274282.

282472164 is a `hidden beast` number, since 28 + 2 + 472 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (282472147) and next prime (282472181).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21382 + ... + 31970.

It is an arithmetic number, because the mean of its divisors is an integer number (8648500).

Almost surely, 2^282472164 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 282472164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415128000).

282472164 is an abundant number, since it is smaller than the sum of its proper divisors (547783836).

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

282472164 is a wasteful number, since it uses less digits than its factorization.

282472164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10626 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 282472164 is about 16806.9082225137. The cubic root of 282472164 is about 656.1330070627.

The spelling of 282472164 in words is "two hundred eighty-two million, four hundred seventy-two thousand, one hundred sixty-four".