905020416 has 132 divisors (see below), whose sum is σ = 2630018352. Its totient is φ = 299741184.

The previous prime is 905020393. The next prime is 905020433. The reversal of 905020416 is 614020509.

It is a self number, because there is not a number n which added to its sum of digits gives 905020416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607955 + ... + 2608301.

Almost surely, 2^905020416 is an apocalyptic number.

905020416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315009176).

905020416 is an abundant number, since it is smaller than the sum of its proper divisors (1724997936).

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

905020416 is a wasteful number, since it uses less digits than its factorization.

905020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 905020416 is about 30083.5572364706. The cubic root of 905020416 is about 967.2813006468.

The spelling of 905020416 in words is "nine hundred five million, twenty thousand, four hundred sixteen".