1204401000 has 128 divisors (see below), whose sum is σ = 4099455360. Its totient is φ = 291968000.

The previous prime is 1204400983. The next prime is 1204401007. The reversal of 1204401000 is 1044021.

1204401000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1204401007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14752 + ... + 51248.

It is an arithmetic number, because the mean of its divisors is an integer number (32026995).

Almost surely, 2^1204401000 is an apocalyptic number.

1204401000 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 1204401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049727680).

1204401000 is an abundant number, since it is smaller than the sum of its proper divisors (2895054360).

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

1204401000 is a wasteful number, since it uses less digits than its factorization.

1204401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36532 (or 36518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1204401000 is about 34704.4809786863. The cubic root of 1204401000 is about 1063.9560843615.

Adding to 1204401000 its reverse (1044021), we get a palindrome (1205445021).

It can be divided in two parts, 1204 and 401000, that added together give a palindrome (402204).

The spelling of 1204401000 in words is "one billion, two hundred four million, four hundred one thousand".