1974417984 has 672 divisors, whose sum is σ = 7783372800. Its totient is φ = 479001600.

The previous prime is 1974417967. The next prime is 1974418031. The reversal of 1974417984 is 4897144791.

1974417984 is a `hidden beast` number, since 197 + 441 + 7 + 9 + 8 + 4 = 666.

1974417984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1974417984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27808669 + ... + 27808739.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2^1974417984 is an apocalyptic number.

1974417984 is a gapful number since it is divisible by the number (14) 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 1974417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

1974417984 is an abundant number, since it is smaller than the sum of its proper divisors (5808954816).

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

1974417984 is a wasteful number, since it uses less digits than its factorization.

1974417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1974417984 is about 44434.4234124851. The cubic root of 1974417984 is about 1254.5260950441.

The spelling of 1974417984 in words is "one billion, nine hundred seventy-four million, four hundred seventeen thousand, nine hundred eighty-four".