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455422400 = 26521971211
BaseRepresentation
bin11011001001010…
…011000111000000
31011201221212002022
4123021103013000
51413042004100
6113105141012
714200012046
oct3311230700
91151855068
10455422400
1121408a654
1210862a768
1373477b14
14446b0396
1529eaee85
hex1b2531c0

455422400 has 168 divisors, whose sum is σ = 1201887360. Its totient is φ = 169344000.

The previous prime is 455422391. The next prime is 455422421. The reversal of 455422400 is 4224554.

It is a self number, because there is not a number n which added to its sum of digits gives 455422400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2158295 + ... + 2158505.

Almost surely, 2455422400 is an apocalyptic number.

455422400 is a gapful number since it is divisible by the number (40) 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 455422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600943680).

455422400 is an abundant number, since it is smaller than the sum of its proper divisors (746464960).

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

455422400 is a wasteful number, since it uses less digits than its factorization.

455422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 455422400 is about 21340.6279195341. The cubic root of 455422400 is about 769.3751044031.

Adding to 455422400 its reverse (4224554), we get a palindrome (459646954).

The spelling of 455422400 in words is "four hundred fifty-five million, four hundred twenty-two thousand, four hundred".