815846472 has 192 divisors, whose sum is σ = 2775672000. Its totient is φ = 220776192.

The previous prime is 815846443. The next prime is 815846477. The reversal of 815846472 is 274648518.

815846472 is a `hidden beast` number, since 8 + 1 + 584 + 64 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (815846477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199068 + ... + 203124.

It is an arithmetic number, because the mean of its divisors is an integer number (14456625).

Almost surely, 2^815846472 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 815846472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387836000).

815846472 is an abundant number, since it is smaller than the sum of its proper divisors (1959825528).

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

815846472 is a wasteful number, since it uses less digits than its factorization.

815846472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4088 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 815846472 is about 28563.0263102494. The cubic root of 815846472 is about 934.4071363346.

The spelling of 815846472 in words is "eight hundred fifteen million, eight hundred forty-six thousand, four hundred seventy-two".