535246920 has 256 divisors, whose sum is σ = 1953504000. Its totient is φ = 129558528.

The previous prime is 535246909. The next prime is 535246927. The reversal of 535246920 is 29642535.

535246920 is a `hidden beast` number, since 53 + 524 + 69 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (535246927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940396 + ... + 940964.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^535246920 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 535246920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

535246920 is an abundant number, since it is smaller than the sum of its proper divisors (1418257080).

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

535246920 is a wasteful number, since it uses less digits than its factorization.

535246920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

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

The square root of 535246920 is about 23135.4040379674. The cubic root of 535246920 is about 811.9290101090.

The spelling of 535246920 in words is "five hundred thirty-five million, two hundred forty-six thousand, nine hundred twenty".