1001930400 has 216 divisors, whose sum is σ = 3629509884. Its totient is φ = 259891200.

The previous prime is 1001930383. The next prime is 1001930431. The reversal of 1001930400 is 40391001.

It can be written as a sum of positive squares in 6 ways, for example, as 559417104 + 442513296 = 23652^2 + 21036^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264520 + ... + 268280.

Almost surely, 2^1001930400 is an apocalyptic number.

1001930400 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 1001930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814754942).

1001930400 is an abundant number, since it is smaller than the sum of its proper divisors (2627579484).

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

1001930400 is a wasteful number, since it uses less digits than its factorization.

1001930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1001930400 is about 31653.2841897962. The cubic root of 1001930400 is about 1000.6430530608.

The spelling of 1001930400 in words is "one billion, one million, nine hundred thirty thousand, four hundred".