533419040 has 192 divisors, whose sum is σ = 1626428160. Its totient is φ = 160419840.

The previous prime is 533419039. The next prime is 533419049. The reversal of 533419040 is 40914335.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 533418994 and 533419012.

It is not an unprimeable number, because it can be changed into a prime (533419049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356534 + ... + 358026.

It is an arithmetic number, because the mean of its divisors is an integer number (8470980).

Almost surely, 2^533419040 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 533419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813214080).

533419040 is an abundant number, since it is smaller than the sum of its proper divisors (1093009120).

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

533419040 is a wasteful number, since it uses less digits than its factorization.

533419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 533419040 is about 23095.8662968073. The cubic root of 533419040 is about 811.0037041880.

The spelling of 533419040 in words is "five hundred thirty-three million, four hundred nineteen thousand, forty".