Search a number
-
+
474462000 = 24325343613
BaseRepresentation
bin11100010001111…
…011011100110000
31020001210011111200
4130101323130300
51432430241000
6115025211200
714520601065
oct3421733460
91201704450
10474462000
11223904361
12112a90b00
13773b305c
1447028c6c
152b9c1500
hex1c47b730

474462000 has 240 divisors, whose sum is σ = 1698441888. Its totient is φ = 123379200.

The previous prime is 474461987. The next prime is 474462013. The reversal of 474462000 is 264474.

It is an interprime number because it is at equal distance from previous prime (474461987) and next prime (474462013).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4744620002 = 450228378888000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 773694 + ... + 774306.

Almost surely, 2474462000 is an apocalyptic number.

474462000 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 474462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849220944).

474462000 is an abundant number, since it is smaller than the sum of its proper divisors (1223979888).

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

474462000 is a wasteful number, since it uses less digits than its factorization.

474462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 474462000 is about 21782.1486543454. The cubic root of 474462000 is about 779.9506872177.

The spelling of 474462000 in words is "four hundred seventy-four million, four hundred sixty-two thousand".