536509440 has 176 divisors, whose sum is σ = 1907148960. Its totient is φ = 143032320.

The previous prime is 536509433. The next prime is 536509451. The reversal of 536509440 is 44905635.

It is a happy number.

It is a super-2 number, since 2×536509440² = 575684758418227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 536509395 and 536509404.

It is a congruent number.

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, 136300 + ... + 140180.

Almost surely, 2^536509440 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 536509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953574480).

536509440 is an abundant number, since it is smaller than the sum of its proper divisors (1370639520).

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

536509440 is a wasteful number, since it uses less digits than its factorization.

536509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 536509440 is about 23162.6734208295. The cubic root of 536509440 is about 812.5668912187.

The spelling of 536509440 in words is "five hundred thirty-six million, five hundred nine thousand, four hundred forty".