1006456464 has 60 divisors (see below), whose sum is σ = 3033353596. Its totient is φ = 309678336.

The previous prime is 1006456463. The next prime is 1006456469. The reversal of 1006456464 is 4646546001.

1006456464 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 5 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117939600 + 888516864 = 10860^2 + 29808^2 .

It is a super-2 number, since 2×1006456464² = 2025909227854766592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006456463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266947 + ... + 270690.

Almost surely, 2^1006456464 is an apocalyptic number.

It is an amenable number.

1006456464 is an abundant number, since it is smaller than the sum of its proper divisors (2026897132).

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

1006456464 is a wasteful number, since it uses less digits than its factorization.

1006456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537664 (or 537655 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1006456464 is about 31724.6980127471. The cubic root of 1006456464 is about 1002.1475394396.

The spelling of 1006456464 in words is "one billion, six million, four hundred fifty-six thousand, four hundred sixty-four".