960038460 has 192 divisors, whose sum is σ = 3171571200. Its totient is φ = 240413184.

The previous prime is 960038447. The next prime is 960038489. The reversal of 960038460 is 64830069.

960038460 is a `hidden beast` number, since 9 + 600 + 3 + 8 + 46 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1405279 + ... + 1405961.

It is an arithmetic number, because the mean of its divisors is an integer number (16518600).

Almost surely, 2^960038460 is an apocalyptic number.

960038460 is a gapful number since it is divisible by the number (90) 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 960038460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585785600).

960038460 is an abundant number, since it is smaller than the sum of its proper divisors (2211532740).

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

960038460 is a wasteful number, since it uses less digits than its factorization.

960038460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 960038460 is about 30984.4874090245. The cubic root of 960038460 is about 986.4980032391.

The spelling of 960038460 in words is "nine hundred sixty million, thirty-eight thousand, four hundred sixty".