1972479600 has 720 divisors, whose sum is σ = 8775882752. Its totient is φ = 414305280.

The previous prime is 1972479589. The next prime is 1972479659. The reversal of 1972479600 is 69742791.

1972479600 is a `hidden beast` number, since 19 + 7 + 24 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845089 + ... + 8845311.

Almost surely, 2^1972479600 is an apocalyptic number.

1972479600 is a gapful number since it is divisible by the number (10) 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 1972479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387941376).

1972479600 is an abundant number, since it is smaller than the sum of its proper divisors (6803403152).

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

1972479600 is a wasteful number, since it uses less digits than its factorization.

1972479600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1972479600 is about 44412.6063184767. The cubic root of 1972479600 is about 1254.1154171371.

The spelling of 1972479600 in words is "one billion, nine hundred seventy-two million, four hundred seventy-nine thousand, six hundred".