1597478400 has 540 divisors, whose sum is σ = 6673810572. Its totient is φ = 363847680.

The previous prime is 1597478383. The next prime is 1597478419. The reversal of 1597478400 is 48747951.

It is a happy number.

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 53 ways as a sum of consecutive naturals, for example, 5644659 + ... + 5644941.

Almost surely, 2^1597478400 is an apocalyptic number.

1597478400 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 1597478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336905286).

1597478400 is an abundant number, since it is smaller than the sum of its proper divisors (5076332172).

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

1597478400 is a wasteful number, since it uses less digits than its factorization.

1597478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1597478400 is about 39968.4675713243. The cubic root of 1597478400 is about 1168.9923386257.

The spelling of 1597478400 in words is "one billion, five hundred ninety-seven million, four hundred seventy-eight thousand, four hundred".