1604156400 has 600 divisors, whose sum is σ = 7188956544. Its totient is φ = 332812800.

The previous prime is 1604156357. The next prime is 1604156401. The reversal of 1604156400 is 46514061.

1604156400 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 15 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604156401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494479 + ... + 2495121.

Almost surely, 2^1604156400 is an apocalyptic number.

1604156400 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 1604156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594478272).

1604156400 is an abundant number, since it is smaller than the sum of its proper divisors (5584800144).

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

1604156400 is a wasteful number, since it uses less digits than its factorization.

1604156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1604156400 is about 40051.9213022297. The cubic root of 1604156400 is about 1170.6190018408.

The spelling of 1604156400 in words is "one billion, six hundred four million, one hundred fifty-six thousand, four hundred".