511292480 has 56 divisors (see below), whose sum is σ = 1225390488. Its totient is φ = 203194368.

The previous prime is 511292479. The next prime is 511292497. The reversal of 511292480 is 84292115.

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 467943424 = 6584^2 + 21632^2 .

It is a super-2 number, since 2×511292480² = 522840000209100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 45152 + ... + 55328.

It is an arithmetic number, because the mean of its divisors is an integer number (21881973).

Almost surely, 2^511292480 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 511292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612695244).

511292480 is an abundant number, since it is smaller than the sum of its proper divisors (714098008).

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

511292480 is a wasteful number, since it uses less digits than its factorization.

511292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 511292480 is about 22611.7774621988. Note that the first 3 decimals coincide. The cubic root of 511292480 is about 799.6313301293.

The spelling of 511292480 in words is "five hundred eleven million, two hundred ninety-two thousand, four hundred eighty".