536811440 has 80 divisors (see below), whose sum is σ = 1390625280. Its totient is φ = 191036160.

The previous prime is 536811433. The next prime is 536811479. The reversal of 536811440 is 44118635.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×536811440² = 576333044229747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 536811397 and 536811406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34871 + ... + 47849.

It is an arithmetic number, because the mean of its divisors is an integer number (17382816).

Almost surely, 2^536811440 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 536811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695312640).

536811440 is an abundant number, since it is smaller than the sum of its proper divisors (853813840).

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

536811440 is a wasteful number, since it uses less digits than its factorization.

536811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13050 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 536811440 is about 23169.1916130020. The cubic root of 536811440 is about 812.7193266672.

The spelling of 536811440 in words is "five hundred thirty-six million, eight hundred eleven thousand, four hundred forty".