1004123400 has 192 divisors, whose sum is σ = 3744998400. Its totient is φ = 217416960.

The previous prime is 1004123399. The next prime is 1004123431. The reversal of 1004123400 is 43214001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1004123400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73509 + ... + 86091.

It is an arithmetic number, because the mean of its divisors is an integer number (19505200).

Almost surely, 2^1004123400 is an apocalyptic number.

1004123400 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 1004123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872499200).

1004123400 is an abundant number, since it is smaller than the sum of its proper divisors (2740875000).

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

1004123400 is a wasteful number, since it uses less digits than its factorization.

1004123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12628 (or 12619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004123400 is about 31687.9062104141. The cubic root of 1004123400 is about 1001.3725818238.

Adding to 1004123400 its reverse (43214001), we get a palindrome (1047337401).

The spelling of 1004123400 in words is "one billion, four million, one hundred twenty-three thousand, four hundred".