1597094400 has 480 divisors, whose sum is σ = 6088896000. Its totient is φ = 364953600.

The previous prime is 1597094399. The next prime is 1597094417. The reversal of 1597094400 is 44907951.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1597094400² = 5101421045022720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8025501 + ... + 8025699.

It is an arithmetic number, because the mean of its divisors is an integer number (12685200).

Almost surely, 2^1597094400 is an apocalyptic number.

1597094400 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 1597094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044448000).

1597094400 is an abundant number, since it is smaller than the sum of its proper divisors (4491801600).

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

1597094400 is a wasteful number, since it uses less digits than its factorization.

1597094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1597094400 is about 39963.6634957307. The cubic root of 1597094400 is about 1168.8986641132.

The spelling of 1597094400 in words is "one billion, five hundred ninety-seven million, ninety-four thousand, four hundred".