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426570480 = 2432572107113
BaseRepresentation
bin11001011011001…
…111001011110000
31002201200000200200
4121123033023300
51333200223410
6110154515200
713366534500
oct3133171360
91081600620
10426570480
111a9873796
12baa35b00
136a4b558b
144091da00
15276b13c0
hex196cf2f0

426570480 has 360 divisors, whose sum is σ = 1696913712. Its totient is φ = 95735808.

The previous prime is 426570479. The next prime is 426570481. The reversal of 426570480 is 84075624.

426570480 is a `hidden beast` number, since 4 + 2 + 6 + 570 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (426570479) and next prime (426570481).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426570481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3774904 + ... + 3775016.

Almost surely, 2426570480 is an apocalyptic number.

426570480 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 426570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848456856).

426570480 is an abundant number, since it is smaller than the sum of its proper divisors (1270343232).

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

426570480 is a wasteful number, since it uses less digits than its factorization.

426570480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 426570480 is about 20653.5827400478. The cubic root of 426570480 is about 752.7722469039.

The spelling of 426570480 in words is "four hundred twenty-six million, five hundred seventy thousand, four hundred eighty".