824997420 has 384 divisors, whose sum is σ = 3034644480. Its totient is φ = 184135680.

The previous prime is 824997379. The next prime is 824997427. The reversal of 824997420 is 24799428.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (824997427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3699429 + ... + 3699651.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2^824997420 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 824997420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517322240).

824997420 is an abundant number, since it is smaller than the sum of its proper divisors (2209647060).

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

824997420 is a wasteful number, since it uses less digits than its factorization.

824997420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 824997420 is about 28722.7683206198. The cubic root of 824997420 is about 937.8877500045.

The spelling of 824997420 in words is "eight hundred twenty-four million, nine hundred ninety-seven thousand, four hundred twenty".