910289952 has 432 divisors, whose sum is σ = 3279092544. Its totient is φ = 235699200.

The previous prime is 910289951. The next prime is 910289969. The reversal of 910289952 is 259982019.

It is a junction number, because it is equal to n+sod(n) for n = 910289898 and 910289907.

It is not an unprimeable number, because it can be changed into a prime (910289951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29364177 + ... + 29364207.

It is an arithmetic number, because the mean of its divisors is an integer number (7590492).

Almost surely, 2^910289952 is an apocalyptic number.

910289952 is a gapful number since it is divisible by the number (92) 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 910289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639546272).

910289952 is an abundant number, since it is smaller than the sum of its proper divisors (2368802592).

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

910289952 is a wasteful number, since it uses less digits than its factorization.

910289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 910289952 is about 30171.0117828355. The cubic root of 910289952 is about 969.1550199769.

The spelling of 910289952 in words is "nine hundred ten million, two hundred eighty-nine thousand, nine hundred fifty-two".