2973408 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 968576.

The previous prime is 2973403. The next prime is 2973413. The reversal of 2973408 is 8043792.

It is an interprime number because it is at equal distance from previous prime (2973403) and next prime (2973413).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4183 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

2^2973408 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 2973408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2973408 is an abundant number, since it is smaller than the sum of its proper divisors (5009952).

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

2973408 is a wasteful number, since it uses less digits than its factorization.

2973408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2973408 is about 1724.3572715653. The cubic root of 2973408 is about 143.7975550287.

It can be divided in two parts, 29 and 73408, that added together give a palindrome (73437).

The spelling of 2973408 in words is "two million, nine hundred seventy-three thousand, four hundred eight".