813420972 has 216 divisors, whose sum is σ = 2614248000. Its totient is φ = 211341312.

The previous prime is 813420919. The next prime is 813420977. The reversal of 813420972 is 279024318.

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

It is not an unprimeable number, because it can be changed into a prime (813420977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1811404 + ... + 1811852.

It is an arithmetic number, because the mean of its divisors is an integer number (12103000).

Almost surely, 2^813420972 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 813420972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124000).

813420972 is an abundant number, since it is smaller than the sum of its proper divisors (1800827028).

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

813420972 is a wasteful number, since it uses less digits than its factorization.

813420972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 813420972 is about 28520.5359697184. The cubic root of 813420972 is about 933.4802241029.

The spelling of 813420972 in words is "eight hundred thirteen million, four hundred twenty thousand, nine hundred seventy-two".