511364640 has 48 divisors (see below), whose sum is σ = 1610800128. Its totient is φ = 136363776.

The previous prime is 511364629. The next prime is 511364713. The reversal of 511364640 is 46463115.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×511364640² = 522987590084659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 511364598 and 511364607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532192 + ... + 533151.

It is an arithmetic number, because the mean of its divisors is an integer number (33558336).

Almost surely, 2^511364640 is an apocalyptic number.

It is an amenable number.

511364640 is an abundant number, since it is smaller than the sum of its proper divisors (1099435488).

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

511364640 is a wasteful number, since it uses less digits than its factorization.

511364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065361 (or 1065353 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 511364640 is about 22613.3730345563. The cubic root of 511364640 is about 799.6689463566.

The spelling of 511364640 in words is "five hundred eleven million, three hundred sixty-four thousand, six hundred forty".