1005406150 has 48 divisors (see below), whose sum is σ = 2167361280. Its totient is φ = 339847200.

The previous prime is 1005406139. The next prime is 1005406183. The reversal of 1005406150 is 516045001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4621 + ... + 45079.

It is an arithmetic number, because the mean of its divisors is an integer number (45153360).

Almost surely, 2^1005406150 is an apocalyptic number.

1005406150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005406150 is an abundant number, since it is smaller than the sum of its proper divisors (1161955130).

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

1005406150 is a wasteful number, since it uses less digits than its factorization.

1005406150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40549 (or 40544 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1005406150 is about 31708.1401220570. The cubic root of 1005406150 is about 1001.7988123340.

The spelling of 1005406150 in words is "one billion, five million, four hundred six thousand, one hundred fifty".