1004500400 has 60 divisors (see below), whose sum is σ = 2435558400. Its totient is φ = 398096640.

The previous prime is 1004500391. The next prime is 1004500421. The reversal of 1004500400 is 40054001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32081 + ... + 55119.

It is an arithmetic number, because the mean of its divisors is an integer number (40592640).

Almost surely, 2^1004500400 is an apocalyptic number.

1004500400 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 1004500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217779200).

1004500400 is an abundant number, since it is smaller than the sum of its proper divisors (1431058000).

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

1004500400 is a wasteful number, since it uses less digits than its factorization.

1004500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23166 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1004500400 is about 31693.8542938532. The cubic root of 1004500400 is about 1001.4978885430.

Adding to 1004500400 its reverse (40054001), we get a palindrome (1044554401).

The spelling of 1004500400 in words is "one billion, four million, five hundred thousand, four hundred".