282364920 has 128 divisors (see below), whose sum is σ = 959169600. Its totient is φ = 73861632.

The previous prime is 282364889. The next prime is 282364931. The reversal of 282364920 is 29463282.

282364920 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 649 + 2 + 0 = 666.

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

It is a congruent number.

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, 54774 + ... + 59706.

Almost surely, 2^282364920 is an apocalyptic number.

282364920 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 282364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479584800).

282364920 is an abundant number, since it is smaller than the sum of its proper divisors (676804680).

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

282364920 is a wasteful number, since it uses less digits than its factorization.

282364920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 282364920 is about 16803.7174458511. The cubic root of 282364920 is about 656.0499602541.

The spelling of 282364920 in words is "two hundred eighty-two million, three hundred sixty-four thousand, nine hundred twenty".