230451000 has 256 divisors, whose sum is σ = 817689600. Its totient is φ = 53568000.

The previous prime is 230450977. The next prime is 230451029. The reversal of 230451000 is 154032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 740845 + ... + 741155.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^230451000 is an apocalyptic number.

230451000 is a gapful number since it is divisible by the number (20) 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 230451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

230451000 is an abundant number, since it is smaller than the sum of its proper divisors (587238600).

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

230451000 is a wasteful number, since it uses less digits than its factorization.

230451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 230451000 is about 15180.6126358589. The cubic root of 230451000 is about 613.0927761206.

The spelling of 230451000 in words is "two hundred thirty million, four hundred fifty-one thousand".