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230400456 = 2331121317359
BaseRepresentation
bin11011011101110…
…10000111001000
3121001112120000020
431232322013020
5432440303311
634510140440
75465241306
oct1556720710
9531476006
10230400456
11109067300
12651b1720
133896c640
1422857276
1515361c06
hexdbba1c8

230400456 has 192 divisors, whose sum is σ = 723945600. Its totient is φ = 60487680.

The previous prime is 230400451. The next prime is 230400461. The reversal of 230400456 is 654004032.

It is an interprime number because it is at equal distance from previous prime (230400451) and next prime (230400461).

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 (230400451) 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, 641605 + ... + 641963.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2230400456 is an apocalyptic number.

230400456 is a gapful number since it is divisible by the number (26) 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 230400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

230400456 is an abundant number, since it is smaller than the sum of its proper divisors (493545144).

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

230400456 is a wasteful number, since it uses less digits than its factorization.

230400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230400456 is about 15178.9477896197. The cubic root of 230400456 is about 613.0479503557.

Adding to 230400456 its reverse (654004032), we get a palindrome (884404488).

The spelling of 230400456 in words is "two hundred thirty million, four hundred thousand, four hundred fifty-six".