1956456320 has 192 divisors, whose sum is σ = 5860512000. Its totient is φ = 619057152.

The previous prime is 1956456253. The next prime is 1956456371. The reversal of 1956456320 is 236546591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405281 + ... + 410079.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 2^1956456320 is an apocalyptic number.

1956456320 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 1956456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1956456320 is an abundant number, since it is smaller than the sum of its proper divisors (3904055680).

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

1956456320 is a wasteful number, since it uses less digits than its factorization.

1956456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 1956456320 is about 44231.8473500712. The cubic root of 1956456320 is about 1250.7102779278.

The spelling of 1956456320 in words is "one billion, nine hundred fifty-six million, four hundred fifty-six thousand, three hundred twenty".