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461492480 = 285360541
BaseRepresentation
bin11011100000011…
…101000100000000
31012011101020200002
4123200131010000
51421120224410
6113443215132
714302423061
oct3340350400
91164336602
10461492480
11217556149
1210a6774a8
13747c1997
1445410568
152a7ad7a5
hex1b81d100

461492480 has 36 divisors (see below), whose sum is σ = 1105421772. Its totient is φ = 184596480.

The previous prime is 461492467. The next prime is 461492491. The reversal of 461492480 is 84294164.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 364351744 = 9856^2 + 19088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178991 + ... + 181550.

Almost surely, 2461492480 is an apocalyptic number.

461492480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461492480 is an abundant number, since it is smaller than the sum of its proper divisors (643929292).

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

461492480 is an equidigital number, since it uses as much as digits as its factorization.

461492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360562 (or 360548 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 461492480 is about 21482.3760324597. The cubic root of 461492480 is about 772.7782249636.

The spelling of 461492480 in words is "four hundred sixty-one million, four hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 360541 721082 1442164 1802705 2884328 3605410 5768656 7210820 11537312 14421640 23074624 28843280 46149248 57686560 92298496 115373120 230746240 461492480