824294140 has 48 divisors (see below), whose sum is σ = 1781174304. Its totient is φ = 320198400.

The previous prime is 824294129. The next prime is 824294143. The reversal of 824294140 is 41492428.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 824294096 and 824294105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824294143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754995 + ... + 756085.

It is an arithmetic number, because the mean of its divisors is an integer number (37107798).

Almost surely, 2^824294140 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 824294140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890587152).

824294140 is an abundant number, since it is smaller than the sum of its proper divisors (956880164).

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

824294140 is a wasteful number, since it uses less digits than its factorization.

824294140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 824294140 is about 28710.5231578946. The cubic root of 824294140 is about 937.6211692867.

The spelling of 824294140 in words is "eight hundred twenty-four million, two hundred ninety-four thousand, one hundred forty".