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450072000 = 26325371947
BaseRepresentation
bin11010110100111…
…000110111000000
31011100220000201100
4122310320313000
51410204301000
6112354334400
714103356160
oct3264706700
91140800640
10450072000
11211065834
1210688a400
13723236c1
1443aba5a0
15297a4a00
hex1ad38dc0

450072000 has 672 divisors, whose sum is σ = 1978030080. Its totient is φ = 95385600.

The previous prime is 450071977. The next prime is 450072011. The reversal of 450072000 is 270054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9575977 + ... + 9576023.

Almost surely, 2450072000 is an apocalyptic number.

450072000 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 450072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989015040).

450072000 is an abundant number, since it is smaller than the sum of its proper divisors (1527958080).

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

450072000 is a wasteful number, since it uses less digits than its factorization.

450072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 450072000 is about 21214.9004239945. The cubic root of 450072000 is about 766.3503000504.

It can be divided in two parts, 4500 and 72000, that multiplied together give a square (324000000 = 180002).

The spelling of 450072000 in words is "four hundred fifty million, seventy-two thousand".