1034125400 has 288 divisors, whose sum is σ = 3125893680. Its totient is φ = 314496000.

The previous prime is 1034125399. The next prime is 1034125403. The reversal of 1034125400 is 45214301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034125403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5713310 + ... + 5713490.

Almost surely, 2^1034125400 is an apocalyptic number.

1034125400 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 1034125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562946840).

1034125400 is an abundant number, since it is smaller than the sum of its proper divisors (2091768280).

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

1034125400 is a wasteful number, since it uses less digits than its factorization.

1034125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1034125400 is about 32157.8201997586. The cubic root of 1034125400 is about 1011.2481383433.

Adding to 1034125400 its reverse (45214301), we get a palindrome (1079339701).

The spelling of 1034125400 in words is "one billion, thirty-four million, one hundred twenty-five thousand, four hundred".