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422748480 = 263572111943
BaseRepresentation
bin11001001100101…
…010000101000000
31002110110211220010
4121030222011000
51331210422410
6105540544520
713322205600
oct3114520500
91073424803
10422748480
111a76a3210
12b96b2140
1369777a3b
1440206c00
15271a8c20
hex1932a140

422748480 has 672 divisors, whose sum is σ = 1834652160. Its totient is φ = 81285120.

The previous prime is 422748479. The next prime is 422748539. The reversal of 422748480 is 84847224.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9831339 + ... + 9831381.

Almost surely, 2422748480 is an apocalyptic number.

422748480 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 422748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917326080).

422748480 is an abundant number, since it is smaller than the sum of its proper divisors (1411903680).

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

422748480 is a wasteful number, since it uses less digits than its factorization.

422748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 422748480 is about 20560.8482315297. The cubic root of 422748480 is about 750.5172609506.

The spelling of 422748480 in words is "four hundred twenty-two million, seven hundred forty-eight thousand, four hundred eighty".