813624420 has 288 divisors, whose sum is σ = 2857171968. Its totient is φ = 171859968.

The previous prime is 813624401. The next prime is 813624421. The reversal of 813624420 is 24426318.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (813624421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3648429 + ... + 3648651.

It is an arithmetic number, because the mean of its divisors is an integer number (9920736).

Almost surely, 2^813624420 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 813624420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428585984).

813624420 is an abundant number, since it is smaller than the sum of its proper divisors (2043547548).

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

813624420 is a wasteful number, since it uses less digits than its factorization.

813624420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 813624420 is about 28524.1024398665. The cubic root of 813624420 is about 933.5580431166.

The spelling of 813624420 in words is "eight hundred thirteen million, six hundred twenty-four thousand, four hundred twenty".