1601828400 has 240 divisors, whose sum is σ = 5472533664. Its totient is φ = 399114240.

The previous prime is 1601828377. The next prime is 1601828443. The reversal of 1601828400 is 48281061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4753032 + ... + 4753368.

Almost surely, 2^1601828400 is an apocalyptic number.

1601828400 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 1601828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736266832).

1601828400 is an abundant number, since it is smaller than the sum of its proper divisors (3870705264).

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

1601828400 is a wasteful number, since it uses less digits than its factorization.

1601828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1601828400 is about 40022.8484743403. The cubic root of 1601828400 is about 1170.0524485218.

The spelling of 1601828400 in words is "one billion, six hundred one million, eight hundred twenty-eight thousand, four hundred".