972019480 has 64 divisors (see below), whose sum is σ = 2314080000. Its totient is φ = 366436224.

The previous prime is 972019459. The next prime is 972019483. The reversal of 972019480 is 84910279.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972019483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148027 + ... + 154453.

It is an arithmetic number, because the mean of its divisors is an integer number (36157500).

Almost surely, 2^972019480 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 972019480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157040000).

972019480 is an abundant number, since it is smaller than the sum of its proper divisors (1342060520).

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

972019480 is a wasteful number, since it uses less digits than its factorization.

972019480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 972019480 is about 31177.2269453202. The cubic root of 972019480 is about 990.5847920669.

The spelling of 972019480 in words is "nine hundred seventy-two million, nineteen thousand, four hundred eighty".