972408 has 32 divisors (see below), whose sum is σ = 2511360. Its totient is φ = 313440.

The previous prime is 972407. The next prime is 972409. The reversal of 972408 is 804279.

It is an interprime number because it is at equal distance from previous prime (972407) and next prime (972409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972403) 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, 91 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (78480).

2⁹⁷²⁴⁰⁸ 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 972408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255680).

972408 is an abundant number, since it is smaller than the sum of its proper divisors (1538952).

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

972408 is a wasteful number, since it uses less digits than its factorization.

972408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 972408 is about 986.1074992109. The cubic root of 972408 is about 99.0716754696.

The spelling of 972408 in words is "nine hundred seventy-two thousand, four hundred eight".