1971478656 has 256 divisors, whose sum is σ = 6697728000. Its totient is φ = 559236096.

The previous prime is 1971478637. The next prime is 1971478657. The reversal of 1971478656 is 6568741791.

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 (1971478657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5491405 + ... + 5491763.

It is an arithmetic number, because the mean of its divisors is an integer number (26163000).

Almost surely, 2^1971478656 is an apocalyptic number.

1971478656 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 1971478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348864000).

1971478656 is an abundant number, since it is smaller than the sum of its proper divisors (4726249344).

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

1971478656 is a wasteful number, since it uses less digits than its factorization.

1971478656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1971478656 is about 44401.3361961101. The cubic root of 1971478656 is about 1253.9032456656.

The spelling of 1971478656 in words is "one billion, nine hundred seventy-one million, four hundred seventy-eight thousand, six hundred fifty-six".