Search a number
-
+
423780480 = 27325294359
BaseRepresentation
bin11001010000100…
…110000010000000
31002112102021112100
4121100212002000
51331441433410
6110015030400
713334034414
oct3120460200
91075367470
10423780480
111a8238602
12b9b0b400
1369a496a6
14403d4d44
152730e8c0
hex19426080

423780480 has 384 divisors, whose sum is σ = 1575288000. Its totient is φ = 104767488.

The previous prime is 423780479. The next prime is 423780491. The reversal of 423780480 is 84087324.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 7182691 + ... + 7182749.

Almost surely, 2423780480 is an apocalyptic number.

423780480 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 423780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787644000).

423780480 is an abundant number, since it is smaller than the sum of its proper divisors (1151507520).

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

423780480 is a wasteful number, since it uses less digits than its factorization.

423780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 423780480 is about 20585.9291750458. The cubic root of 423780480 is about 751.1274775432.

The spelling of 423780480 in words is "four hundred twenty-three million, seven hundred eighty thousand, four hundred eighty".