1974792960 has 432 divisors, whose sum is σ = 8106798336. Its totient is φ = 450883584.

The previous prime is 1974792959. The next prime is 1974792979. The reversal of 1974792960 is 692974791.

1974792960 is a `hidden beast` number, since 1 + 97 + 479 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 1974792897 and 1974792906.

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, 2176827 + ... + 2177733.

Almost surely, 2^1974792960 is an apocalyptic number.

1974792960 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 1974792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053399168).

1974792960 is an abundant number, since it is smaller than the sum of its proper divisors (6132005376).

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

1974792960 is an frugal number, since it uses more digits than its factorization.

1974792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1974792960 is about 44438.6426435372. The cubic root of 1974792960 is about 1254.6055087251.

The spelling of 1974792960 in words is "one billion, nine hundred seventy-four million, seven hundred ninety-two thousand, nine hundred sixty".