511486272 has 224 divisors, whose sum is σ = 1667865600. Its totient is φ = 152409600.

The previous prime is 511486249. The next prime is 511486303. The reversal of 511486272 is 272684115.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349379 + ... + 1349757.

Almost surely, 2^511486272 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 511486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

511486272 is an abundant number, since it is smaller than the sum of its proper divisors (1156379328).

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

511486272 is a wasteful number, since it uses less digits than its factorization.

511486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

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

The square root of 511486272 is about 22616.0622567236. The cubic root of 511486272 is about 799.7323437935.

The spelling of 511486272 in words is "five hundred eleven million, four hundred eighty-six thousand, two hundred seventy-two".