1597164480 has 280 divisors, whose sum is σ = 5817577392. Its totient is φ = 415715328.

The previous prime is 1597164479. The next prime is 1597164493. The reversal of 1597164480 is 844617951.

1597164480 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 164 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1113844 + ... + 1115276.

Almost surely, 2^1597164480 is an apocalyptic number.

1597164480 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 1597164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908788696).

1597164480 is an abundant number, since it is smaller than the sum of its proper divisors (4220412912).

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

1597164480 is a wasteful number, since it uses less digits than its factorization.

1597164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1597164480 is about 39964.5402826055. The cubic root of 1597164480 is about 1168.9157608318.

The spelling of 1597164480 in words is "one billion, five hundred ninety-seven million, one hundred sixty-four thousand, four hundred eighty".