1006401330 has 48 divisors (see below), whose sum is σ = 2854522944. Its totient is φ = 243975840.

The previous prime is 1006401313. The next prime is 1006401373. The reversal of 1006401330 is 331046001.

1006401330 is a `hidden beast` number, since 10 + 0 + 640 + 13 + 3 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507294 + ... + 509273.

It is an arithmetic number, because the mean of its divisors is an integer number (59469228).

Almost surely, 2^1006401330 is an apocalyptic number.

1006401330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006401330 is an abundant number, since it is smaller than the sum of its proper divisors (1848121614).

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

1006401330 is a wasteful number, since it uses less digits than its factorization.

1006401330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016591 (or 1016588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1006401330 is about 31723.8290564049. The cubic root of 1006401330 is about 1002.1292397868.

Adding to 1006401330 its reverse (331046001), we get a palindrome (1337447331).

The spelling of 1006401330 in words is "one billion, six million, four hundred one thousand, three hundred thirty".