511842240 has 840 divisors, whose sum is σ = 2354470272. Its totient is φ = 104509440.

The previous prime is 511842229. The next prime is 511842263. The reversal of 511842240 is 42248115.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16511025 + ... + 16511055.

Almost surely, 2^511842240 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 511842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177235136).

511842240 is an abundant number, since it is smaller than the sum of its proper divisors (1842628032).

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

511842240 is a wasteful number, since it uses less digits than its factorization.

511842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

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

The square root of 511842240 is about 22623.9306929631. The cubic root of 511842240 is about 799.9178248927.

The spelling of 511842240 in words is "five hundred eleven million, eight hundred forty-two thousand, two hundred forty".