1011830400 has 576 divisors, whose sum is σ = 4325616000. Its totient is φ = 230307840.

The previous prime is 1011830383. The next prime is 1011830401. The reversal of 1011830400 is 40381101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011830401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233481 + ... + 4233719.

It is an arithmetic number, because the mean of its divisors is an integer number (7509750).

Almost surely, 2^1011830400 is an apocalyptic number.

1011830400 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 1011830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162808000).

1011830400 is an abundant number, since it is smaller than the sum of its proper divisors (3313785600).

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

1011830400 is a wasteful number, since it uses less digits than its factorization.

1011830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011830400 is about 31809.2816643193. The cubic root of 1011830400 is about 1003.9280171458.

The spelling of 1011830400 in words is "one billion, eleven million, eight hundred thirty thousand, four hundred".