816413040 has 160 divisors (see below), whose sum is σ = 2821248000. Its totient is φ = 217002240.

The previous prime is 816413011. The next prime is 816413053. The reversal of 816413040 is 40314618.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 816412995 and 816413013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293525 + ... + 1294155.

It is an arithmetic number, because the mean of its divisors is an integer number (17632800).

Almost surely, 2^816413040 is an apocalyptic number.

816413040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410624000).

816413040 is an abundant number, since it is smaller than the sum of its proper divisors (2004834960).

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

816413040 is a wasteful number, since it uses less digits than its factorization.

816413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 816413040 is about 28572.9424456075. The cubic root of 816413040 is about 934.6233872669.

Adding to 816413040 its reverse (40314618), we get a palindrome (856727658).

It can be divided in two parts, 81641 and 3040, that added together give a square (84681 = 291²).

The spelling of 816413040 in words is "eight hundred sixteen million, four hundred thirteen thousand, forty".