972473040 has 400 divisors, whose sum is σ = 4213123200. Its totient is φ = 201968640.

The previous prime is 972473027. The next prime is 972473063. The reversal of 972473040 is 40374279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 972472986 and 972473004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 497986 + ... + 499934.

It is an arithmetic number, because the mean of its divisors is an integer number (10532808).

Almost surely, 2^972473040 is an apocalyptic number.

972473040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 31184×31185.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106561600).

972473040 is an abundant number, since it is smaller than the sum of its proper divisors (3240650160).

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

972473040 is a wasteful number, since it uses less digits than its factorization.

972473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 972473040 is about 31184.4999959916. The cubic root of 972473040 is about 990.7388424001.

The spelling of 972473040 in words is "nine hundred seventy-two million, four hundred seventy-three thousand, forty".