793473408 has 480 divisors, whose sum is σ = 3009966960. Its totient is φ = 202051584.

The previous prime is 793473407. The next prime is 793473413. The reversal of 793473408 is 804374397.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793473407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27361138 + ... + 27361166.

Almost surely, 2^793473408 is an apocalyptic number.

793473408 is a gapful number since it is divisible by the number (78) 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 793473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504983480).

793473408 is an abundant number, since it is smaller than the sum of its proper divisors (2216493552).

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

793473408 is a wasteful number, since it uses less digits than its factorization.

793473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 793473408 is about 28168.6600320285. The cubic root of 793473408 is about 925.7863906210.

It can be divided in two parts, 793473 and 408, that added together give a square (793881 = 891²).

The spelling of 793473408 in words is "seven hundred ninety-three million, four hundred seventy-three thousand, four hundred eight".