1578398400 has 420 divisors, whose sum is σ = 6116680680. Its totient is φ = 398131200.

The previous prime is 1578398389. The next prime is 1578398413. The reversal of 1578398400 is 48938751.

1578398400 is a `hidden beast` number, since 1 + 578 + 39 + 8 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462080 + ... + 2462720.

Almost surely, 2^1578398400 is an apocalyptic number.

1578398400 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 1578398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058340340).

1578398400 is an abundant number, since it is smaller than the sum of its proper divisors (4538282280).

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

1578398400 is a wasteful number, since it uses less digits than its factorization.

1578398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 670 counting only the distinct ones).

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

The square root of 1578398400 is about 39729.0624102810. The cubic root of 1578398400 is about 1164.3196061460.

The spelling of 1578398400 in words is "one billion, five hundred seventy-eight million, three hundred ninety-eight thousand, four hundred".