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460925680 = 24510915281
BaseRepresentation
bin11011011110010…
…010101011110000
31012010022110011111
4123132102223300
51420444110210
6113423123104
714264542435
oct3336225360
91163273144
10460925680
112171a9316
1210a443494
13746539b7
1445303b8c
152a6ea88a
hex1b792af0

460925680 has 40 divisors (see below), whose sum is σ = 1072837584. Its totient is φ = 184166400.

The previous prime is 460925671. The next prime is 460925713. The reversal of 460925680 is 86529064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84640 + ... + 89920.

Almost surely, 2460925680 is an apocalyptic number.

460925680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460925680 is an abundant number, since it is smaller than the sum of its proper divisors (611911904).

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

460925680 is a wasteful number, since it uses less digits than its factorization.

460925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 460925680 is about 21469.1797700797. The cubic root of 460925680 is about 772.4617227746.

The spelling of 460925680 in words is "four hundred sixty million, nine hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1091 2182 4364 5281 5455 8728 10562 10910 17456 21124 21820 26405 42248 43640 52810 84496 87280 105620 211240 422480 5761571 11523142 23046284 28807855 46092568 57615710 92185136 115231420 230462840 460925680