511476480 has 216 divisors, whose sum is σ = 1831873680. Its totient is φ = 131604480.

The previous prime is 511476463. The next prime is 511476499. The reversal of 511476480 is 84674115.

It is a happy number.

511476480 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 7 + 648 + 0 = 666.

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

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, 333315 + ... + 334845.

Almost surely, 2^511476480 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 511476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915936840).

511476480 is an abundant number, since it is smaller than the sum of its proper divisors (1320397200).

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

511476480 is a wasteful number, since it uses less digits than its factorization.

511476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 511476480 is about 22615.8457723783. The cubic root of 511476480 is about 799.7272403466.

The spelling of 511476480 in words is "five hundred eleven million, four hundred seventy-six thousand, four hundred eighty".