917950464 has 156 divisors (see below), whose sum is σ = 2727242596. Its totient is φ = 297271296.

The previous prime is 917950463. The next prime is 917950471. The reversal of 917950464 is 464059719.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 332697600 = 24192^2 + 18240^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (917950463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363632 + ... + 1364304.

Almost surely, 2^917950464 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 917950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363621298).

917950464 is an abundant number, since it is smaller than the sum of its proper divisors (1809292132).

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

917950464 is a wasteful number, since it uses less digits than its factorization.

917950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 917950464 is about 30297.6973382467. The cubic root of 917950464 is about 971.8660588694.

The spelling of 917950464 in words is "nine hundred seventeen million, nine hundred fifty thousand, four hundred sixty-four".