1604102400 has 216 divisors, whose sum is σ = 5882713760. Its totient is φ = 427714560.

The previous prime is 1604102351. The next prime is 1604102411. The reversal of 1604102400 is 42014061.

1604102400 is a `hidden beast` number, since 16 + 0 + 410 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168159 + ... + 177441.

Almost surely, 2^1604102400 is an apocalyptic number.

1604102400 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 1604102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941356880).

1604102400 is an abundant number, since it is smaller than the sum of its proper divisors (4278611360).

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

1604102400 is an equidigital number, since it uses as much as digits as its factorization.

1604102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9318 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1604102400 is about 40051.2471715925. The cubic root of 1604102400 is about 1170.6058663520.

Adding to 1604102400 its reverse (42014061), we get a palindrome (1646116461).

The spelling of 1604102400 in words is "one billion, six hundred four million, one hundred two thousand, four hundred".