511404480 has 336 divisors, whose sum is σ = 1857256128. Its totient is φ = 129024000.

The previous prime is 511404469. The next prime is 511404499. The reversal of 511404480 is 84404115.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7202845 + ... + 7202915.

It is an arithmetic number, because the mean of its divisors is an integer number (5527548).

Almost surely, 2^511404480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928628064).

511404480 is an abundant number, since it is smaller than the sum of its proper divisors (1345851648).

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

511404480 is a wasteful number, since it uses less digits than its factorization.

511404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 511404480 is about 22614.2539120794. The cubic root of 511404480 is about 799.6897130014.

Adding to 511404480 its reverse (84404115), we get a palindrome (595808595).

The spelling of 511404480 in words is "five hundred eleven million, four hundred four thousand, four hundred eighty".