1005640452 has 36 divisors (see below), whose sum is σ = 2546962236. Its totient is φ = 334563840.

The previous prime is 1005640439. The next prime is 1005640487. The reversal of 1005640452 is 2540465001.

1005640452 is a `hidden beast` number, since 10 + 0 + 5 + 640 + 4 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 710968896 + 294671556 = 26664^2 + 17166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1005640452² = 2022625437397528608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8053 + ... + 45564.

It is an arithmetic number, because the mean of its divisors is an integer number (70748951).

Almost surely, 2^1005640452 is an apocalyptic number.

1005640452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005640452 is an abundant number, since it is smaller than the sum of its proper divisors (1541321784).

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

1005640452 is a wasteful number, since it uses less digits than its factorization.

1005640452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54148 (or 54143 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1005640452 is about 31711.8345732315. The cubic root of 1005640452 is about 1001.8766267358.

The spelling of 1005640452 in words is "one billion, five million, six hundred forty thousand, four hundred fifty-two".