1010382400 has 84 divisors (see below), whose sum is σ = 2494309972. Its totient is φ = 402831360.

The previous prime is 1010382397. The next prime is 1010382413. The reversal of 1010382400 is 42830101.

It can be written as a sum of positive squares in 6 ways, for example, as 32444416 + 977937984 = 5696^2 + 31272^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 595954 + ... + 597646.

Almost surely, 2^1010382400 is an apocalyptic number.

1010382400 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 1010382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247154986).

1010382400 is an abundant number, since it is smaller than the sum of its proper divisors (1483927572).

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

1010382400 is a wasteful number, since it uses less digits than its factorization.

1010382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1010382400 is about 31786.5128631626. The cubic root of 1010382400 is about 1003.4488914729.

The spelling of 1010382400 in words is "one billion, ten million, three hundred eighty-two thousand, four hundred".