1005950400 has 672 divisors, whose sum is σ = 4233062400. Its totient is φ = 207728640.

The previous prime is 1005950389. The next prime is 1005950423. The reversal of 1005950400 is 40595001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21403177 + ... + 21403223.

It is an arithmetic number, because the mean of its divisors is an integer number (6299200).

Almost surely, 2^1005950400 is an apocalyptic number.

1005950400 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 1005950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116531200).

1005950400 is an abundant number, since it is smaller than the sum of its proper divisors (3227112000).

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

1005950400 is a wasteful number, since it uses less digits than its factorization.

1005950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1005950400 is about 31716.7211420096. The cubic root of 1005950400 is about 1001.9795454807.

The spelling of 1005950400 in words is "one billion, five million, nine hundred fifty thousand, four hundred".