1596948480 has 384 divisors, whose sum is σ = 5992520400. Its totient is φ = 403439616.

The previous prime is 1596948473. The next prime is 1596948487. The reversal of 1596948480 is 848496951.

1596948480 is a `hidden beast` number, since 1 + 596 + 9 + 4 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1596948473) and next prime (1596948487).

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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1596948487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84049911 + ... + 84049929.

Almost surely, 2^1596948480 is an apocalyptic number.

1596948480 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 1596948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996260200).

1596948480 is an abundant number, since it is smaller than the sum of its proper divisors (4395571920).

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

1596948480 is an frugal number, since it uses more digits than its factorization.

1596948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1596948480 is about 39961.8377955769. The cubic root of 1596948480 is about 1168.8630638615.

The spelling of 1596948480 in words is "one billion, five hundred ninety-six million, nine hundred forty-eight thousand, four hundred eighty".