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453230400 = 26352724147
BaseRepresentation
bin11011000000111…
…011111101000000
31011120211111020010
4123000323331000
51412011333100
6112550144520
714142252300
oct3300737500
91146744203
10453230400
11212922787
12107952140
1372b8b18c
144429d600
1529bca750
hex1b03bf40

453230400 has 504 divisors, whose sum is σ = 1809634176. Its totient is φ = 98918400.

The previous prime is 453230399. The next prime is 453230419. The reversal of 453230400 is 4032354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9643177 + ... + 9643223.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2453230400 is an apocalyptic number.

453230400 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 453230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904817088).

453230400 is an abundant number, since it is smaller than the sum of its proper divisors (1356403776).

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

453230400 is a wasteful number, since it uses less digits than its factorization.

453230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 453230400 is about 21289.2085339028. The cubic root of 453230400 is about 768.1387553114.

Adding to 453230400 its reverse (4032354), we get a palindrome (457262754).

The spelling of 453230400 in words is "four hundred fifty-three million, two hundred thirty thousand, four hundred".