1004150400 has 384 divisors, whose sum is σ = 3720029760. Its totient is φ = 235929600.

The previous prime is 1004150377. The next prime is 1004150417. The reversal of 1004150400 is 40514001.

1004150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 1004150400.

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, 3907072 + ... + 3907328.

Almost surely, 2^1004150400 is an apocalyptic number.

1004150400 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 1004150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860014880).

1004150400 is an abundant number, since it is smaller than the sum of its proper divisors (2715879360).

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

1004150400 is a wasteful number, since it uses less digits than its factorization.

1004150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1004150400 is about 31688.3322375918. The cubic root of 1004150400 is about 1001.3815570877.

Adding to 1004150400 its reverse (40514001), we get a palindrome (1044664401).

The spelling of 1004150400 in words is "one billion, four million, one hundred fifty thousand, four hundred".