1000754400 has 144 divisors (see below), whose sum is σ = 3362784768. Its totient is φ = 258240000.

The previous prime is 1000754389. The next prime is 1000754407. The reversal of 1000754400 is 44570001.

1000754400 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000754407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67675 + ... + 81125.

It is an arithmetic number, because the mean of its divisors is an integer number (23352672).

Almost surely, 2^1000754400 is an apocalyptic number.

1000754400 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 1000754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681392384).

1000754400 is an abundant number, since it is smaller than the sum of its proper divisors (2362030368).

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

1000754400 is a wasteful number, since it uses less digits than its factorization.

1000754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1000754400 is about 31634.7024642243. The cubic root of 1000754400 is about 1000.2514034577.

The spelling of 1000754400 in words is "one billion, seven hundred fifty-four thousand, four hundred".