927408864 has 192 divisors, whose sum is σ = 2639831040. Its totient is φ = 284497920.

The previous prime is 927408857. The next prime is 927408869. The reversal of 927408864 is 468804729.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927408869) 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, 7302369 + ... + 7302495.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^927408864 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 927408864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).

927408864 is an abundant number, since it is smaller than the sum of its proper divisors (1712422176).

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

927408864 is a wasteful number, since it uses less digits than its factorization.

927408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 927408864 is about 30453.3883829041. The cubic root of 927408864 is about 975.1926383335.

The spelling of 927408864 in words is "nine hundred twenty-seven million, four hundred eight thousand, eight hundred sixty-four".