511804980 has 120 divisors (see below), whose sum is σ = 1622601288. Its totient is φ = 135032832.

The previous prime is 511804973. The next prime is 511805023. The reversal of 511804980 is 89408115.

It can be written as a sum of positive squares in 4 ways, for example, as 115476516 + 396328464 = 10746^2 + 19908^2 .

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 39 ways as a sum of consecutive naturals, for example, 155512 + ... + 158768.

Almost surely, 2^511804980 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 511804980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811300644).

511804980 is an abundant number, since it is smaller than the sum of its proper divisors (1110796308).

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

511804980 is a wasteful number, since it uses less digits than its factorization.

511804980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 511804980 is about 22623.1072136433. The cubic root of 511804980 is about 799.8984141843.

The spelling of 511804980 in words is "five hundred eleven million, eight hundred four thousand, nine hundred eighty".