1974675456 has 384 divisors, whose sum is σ = 6549379200. Its totient is φ = 583925760.

The previous prime is 1974675403. The next prime is 1974675487. The reversal of 1974675456 is 6545764791.

1974675456 is a `hidden beast` number, since 1 + 97 + 4 + 6 + 7 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (6350400) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29472735 + ... + 29472801.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^1974675456 is an apocalyptic number.

1974675456 is a gapful number since it is divisible by the number (16) 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 1974675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274689600).

1974675456 is an abundant number, since it is smaller than the sum of its proper divisors (4574703744).

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

1974675456 is a wasteful number, since it uses less digits than its factorization.

1974675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 1974675456 is about 44437.3205312832. The cubic root of 1974675456 is about 1254.5806244136.

The spelling of 1974675456 in words is "one billion, nine hundred seventy-four million, six hundred seventy-five thousand, four hundred fifty-six".