535210416 has 120 divisors (see below), whose sum is σ = 1672965840. Its totient is φ = 164664576.

The previous prime is 535210393. The next prime is 535210427. The reversal of 535210416 is 614012535.

535210416 is a `hidden beast` number, since 5 + 35 + 210 + 416 = 666.

It is a super-3 number, since 3×535210416³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 535210416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45250 + ... + 55838.

It is an arithmetic number, because the mean of its divisors is an integer number (13941382).

Almost surely, 2^535210416 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 535210416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836482920).

535210416 is an abundant number, since it is smaller than the sum of its proper divisors (1137755424).

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

535210416 is a wasteful number, since it uses less digits than its factorization.

535210416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 535210416 is about 23134.6151037790. The cubic root of 535210416 is about 811.9105517556.

The spelling of 535210416 in words is "five hundred thirty-five million, two hundred ten thousand, four hundred sixteen".