905080572 has 144 divisors (see below), whose sum is σ = 2559997440. Its totient is φ = 267321600.

The previous prime is 905080571. The next prime is 905080621. The reversal of 905080572 is 275080509.

905080572 is a `hidden beast` number, since 9 + 0 + 5 + 0 + 80 + 572 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905080571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3786829 + ... + 3787067.

It is an arithmetic number, because the mean of its divisors is an integer number (17777760).

Almost surely, 2^905080572 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 905080572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279998720).

905080572 is an abundant number, since it is smaller than the sum of its proper divisors (1654916868).

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

905080572 is a wasteful number, since it uses less digits than its factorization.

905080572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 905080572 is about 30084.5570351302. The cubic root of 905080572 is about 967.3027316494.

The spelling of 905080572 in words is "nine hundred five million, eighty thousand, five hundred seventy-two".