815354416 has 40 divisors (see below), whose sum is σ = 1664830944. Its totient is φ = 386073600.

The previous prime is 815354411. The next prime is 815354417. The reversal of 815354416 is 614453518.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (815354411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26200 + ... + 48136.

Almost surely, 2^815354416 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 815354416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832415472).

815354416 is an abundant number, since it is smaller than the sum of its proper divisors (849476528).

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

815354416 is a wasteful number, since it uses less digits than its factorization.

815354416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069 (or 22063 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 815354416 is about 28554.4114980505. The cubic root of 815354416 is about 934.2192443233.

The spelling of 815354416 in words is "eight hundred fifteen million, three hundred fifty-four thousand, four hundred sixteen".