535505040 has 320 divisors, whose sum is σ = 2134149120. Its totient is φ = 120890880.

The previous prime is 535505027. The next prime is 535505053. The reversal of 535505040 is 40505535.

It is an interprime number because it is at equal distance from previous prime (535505027) and next prime (535505053).

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

It is a junction number, because it is equal to n+sod(n) for n = 535504995 and 535505013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617675 + ... + 1618005.

It is an arithmetic number, because the mean of its divisors is an integer number (6669216).

Almost surely, 2^535505040 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 535505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067074560).

535505040 is an abundant number, since it is smaller than the sum of its proper divisors (1598644080).

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

535505040 is a wasteful number, since it uses less digits than its factorization.

535505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 535505040 is about 23140.9818287816. The cubic root of 535505040 is about 812.0595052932.

The spelling of 535505040 in words is "five hundred thirty-five million, five hundred five thousand, forty".