972541440 has 480 divisors, whose sum is σ = 3860752896. Its totient is φ = 224133120.

The previous prime is 972541433. The next prime is 972541459. The reversal of 972541440 is 44145279.

It is a happy number.

972541440 is a `hidden beast` number, since 9 + 72 + 541 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 972541395 and 972541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5091745 + ... + 5091935.

Almost surely, 2^972541440 is an apocalyptic number.

972541440 is a gapful number since it is divisible by the number (90) 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 972541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

972541440 is an abundant number, since it is smaller than the sum of its proper divisors (2888211456).

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

972541440 is a wasteful number, since it uses less digits than its factorization.

972541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 972541440 is about 31185.5966753885. The cubic root of 972541440 is about 990.7620701042.

The spelling of 972541440 in words is "nine hundred seventy-two million, five hundred forty-one thousand, four hundred forty".