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452480 = 2757101
BaseRepresentation
bin1101110011110000000
3211222200112
41232132000
5103434410
613410452
73563120
oct1563600
9758615
10452480
11289a56
12199a28
1312ac52
14bac80
158e105
hex6e780

452480 has 64 divisors (see below), whose sum is σ = 1248480. Its totient is φ = 153600.

The previous prime is 452453. The next prime is 452497. The reversal of 452480 is 84254.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

452480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4430 + ... + 4530.

2452480 is an apocalyptic number.

452480 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 452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624240).

452480 is an abundant number, since it is smaller than the sum of its proper divisors (796000).

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

452480 is a wasteful number, since it uses less digits than its factorization.

452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 452480 is about 672.6663363065. Note that the first 3 decimals coincide. The cubic root of 452480 is about 76.7714593023.

The spelling of 452480 in words is "four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 4480 5656 6464 7070 8080 11312 12928 14140 16160 22624 28280 32320 45248 56560 64640 90496 113120 226240 452480