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454463640 = 2332529101431
BaseRepresentation
bin11011000101101…
…001000010011000
31011200011010220200
4123011221002120
51412320314030
6113032422200
714155606611
oct3305510230
91150133820
10454463640
11213595294
12108247960
13732005c7
1444500c08
1529d70d60
hex1b169098

454463640 has 192 divisors, whose sum is σ = 1546646400. Its totient is φ = 115584000.

The previous prime is 454463629. The next prime is 454463657. The reversal of 454463640 is 46364454.

454463640 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454463595 and 454463604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054225 + ... + 1054655.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2454463640 is an apocalyptic number.

454463640 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 454463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773323200).

454463640 is an abundant number, since it is smaller than the sum of its proper divisors (1092182760).

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

454463640 is a wasteful number, since it uses less digits than its factorization.

454463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 454463640 is about 21318.1528280477. The cubic root of 454463640 is about 768.8348262534.

The spelling of 454463640 in words is "four hundred fifty-four million, four hundred sixty-three thousand, six hundred forty".