905152752 has 160 divisors (see below), whose sum is σ = 3038773760. Its totient is φ = 252564480.

The previous prime is 905152751. The next prime is 905152757. The reversal of 905152752 is 257251509.

905152752 is a `hidden beast` number, since 90 + 515 + 2 + 7 + 52 = 666.

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 (905152751) 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, 126552 + ... + 133512.

It is an arithmetic number, because the mean of its divisors is an integer number (18992336).

Almost surely, 2^905152752 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 905152752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519386880).

905152752 is an abundant number, since it is smaller than the sum of its proper divisors (2133621008).

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

905152752 is a wasteful number, since it uses less digits than its factorization.

905152752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 905152752 is about 30085.7566300068. The cubic root of 905152752 is about 967.3284450342.

The spelling of 905152752 in words is "nine hundred five million, one hundred fifty-two thousand, seven hundred fifty-two".