830401152 has 64 divisors (see below), whose sum is σ = 2520868800. Its totient is φ = 237256704.

The previous prime is 830401147. The next prime is 830401157. The reversal of 830401152 is 251104038.

830401152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830401147) and next prime (830401157).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (830401157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151777 + ... + 157152.

It is an arithmetic number, because the mean of its divisors is an integer number (39388575).

Almost surely, 2^830401152 is an apocalyptic number.

It is an amenable number.

830401152 is an abundant number, since it is smaller than the sum of its proper divisors (1690467648).

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

830401152 is a wasteful number, since it uses less digits than its factorization.

830401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308953 (or 308941 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 830401152 is about 28816.6818353536. The cubic root of 830401152 is about 939.9310165160.

The spelling of 830401152 in words is "eight hundred thirty million, four hundred one thousand, one hundred fifty-two".