830125464 has 192 divisors, whose sum is σ = 2532578400. Its totient is φ = 225792000.

The previous prime is 830125463. The next prime is 830125469. The reversal of 830125464 is 464521038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830125463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3444384 + ... + 3444624.

Almost surely, 2^830125464 is an apocalyptic number.

830125464 is a gapful number since it is divisible by the number (84) 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 830125464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266289200).

830125464 is an abundant number, since it is smaller than the sum of its proper divisors (1702452936).

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

830125464 is a wasteful number, since it uses less digits than its factorization.

830125464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 830125464 is about 28811.8979590030. The cubic root of 830125464 is about 939.8269879258.

The spelling of 830125464 in words is "eight hundred thirty million, one hundred twenty-five thousand, four hundred sixty-four".