73408410 has 64 divisors (see below), whose sum is σ = 204284160. Its totient is φ = 18722880.

The previous prime is 73408399. The next prime is 73408411. The reversal of 73408410 is 1480437.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73408411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300 + ... + 12120.

It is an arithmetic number, because the mean of its divisors is an integer number (3191940).

Almost surely, 2^73408410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73408410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102142080).

73408410 is an abundant number, since it is smaller than the sum of its proper divisors (130875750).

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

73408410 is a wasteful number, since it uses less digits than its factorization.

73408410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73408410 is about 8567.8707973452. The cubic root of 73408410 is about 418.7118696995.

Adding to 73408410 its reverse (1480437), we get a palindrome (74888847).

The spelling of 73408410 in words is "seventy-three million, four hundred eight thousand, four hundred ten".