511140400 has 60 divisors (see below), whose sum is σ = 1267658944. Its totient is φ = 197856000.

The previous prime is 511140397. The next prime is 511140401. The reversal of 511140400 is 4041115.

It is a super-2 number, since 2×511140400² = 522529017024320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (511140401) 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, 8211 + ... + 33010.

Almost surely, 2^511140400 is an apocalyptic number.

511140400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

511140400 is an abundant number, since it is smaller than the sum of its proper divisors (756518544).

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

511140400 is a wasteful number, since it uses less digits than its factorization.

511140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41270 (or 41259 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 511140400 is about 22608.4143627986. The cubic root of 511140400 is about 799.5520408793.

Adding to 511140400 its reverse (4041115), we get a palindrome (515181515).

The spelling of 511140400 in words is "five hundred eleven million, one hundred forty thousand, four hundred".