1979248392 has 256 divisors, whose sum is σ = 6687360000. Its totient is φ = 534574080.

The previous prime is 1979248379. The next prime is 1979248399. The reversal of 1979248392 is 2938429791.

1979248392 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 248 + 392 = 666.

It is a super-3 number, since 3×1979248392³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1979248399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766159 + ... + 768737.

It is an arithmetic number, because the mean of its divisors is an integer number (26122500).

Almost surely, 2^1979248392 is an apocalyptic number.

1979248392 is a gapful number since it is divisible by the number (12) 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 1979248392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343680000).

1979248392 is an abundant number, since it is smaller than the sum of its proper divisors (4708111608).

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

1979248392 is a wasteful number, since it uses less digits than its factorization.

1979248392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2631 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1979248392 is about 44488.7445541004. The cubic root of 1979248392 is about 1255.5483267127.

The spelling of 1979248392 in words is "one billion, nine hundred seventy-nine million, two hundred forty-eight thousand, three hundred ninety-two".