535948416 has 96 divisors (see below), whose sum is σ = 1553806800. Its totient is φ = 177311232.

The previous prime is 535948411. The next prime is 535948417. The reversal of 535948416 is 614849535.

535948416 is a `hidden beast` number, since 53 + 594 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×535948416² = 574481409225818112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (535948411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158455 + ... + 161801.

Almost surely, 2^535948416 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 535948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776903400).

535948416 is an abundant number, since it is smaller than the sum of its proper divisors (1017858384).

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

535948416 is a wasteful number, since it uses less digits than its factorization.

535948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3491 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 535948416 is about 23150.5597340539. The cubic root of 535948416 is about 812.2835606838.

The spelling of 535948416 in words is "five hundred thirty-five million, nine hundred forty-eight thousand, four hundred sixteen".