1597964400 has 90 divisors (see below), whose sum is σ = 5545392840. Its totient is φ = 426122880.

The previous prime is 1597964371. The next prime is 1597964413. The reversal of 1597964400 is 44697951.

1597964400 is a `hidden beast` number, since 159 + 7 + 96 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 218340 + ... + 225539.

It is an arithmetic number, because the mean of its divisors is an integer number (61615476).

Almost surely, 2^1597964400 is an apocalyptic number.

1597964400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1597964400 is an abundant number, since it is smaller than the sum of its proper divisors (3947428440).

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

1597964400 is a wasteful number, since it uses less digits than its factorization.

1597964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443903 (or 443889 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1597964400 is about 39974.5469017474. The cubic root of 1597964400 is about 1169.1108739107.

The spelling of 1597964400 in words is "one billion, five hundred ninety-seven million, nine hundred sixty-four thousand, four hundred".