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427032480 = 25357731741
BaseRepresentation
bin11001011100111…
…111111110100000
31002202112111102210
4121130333332200
51333310014410
6110212442120
713403500440
oct3134777640
91082474383
10427032480
111aa059906
12bb019340
136a617954
1440a00120
1527753220
hex1973ffa0

427032480 has 192 divisors, whose sum is σ = 1559271168. Its totient is φ = 96215040.

The previous prime is 427032443. The next prime is 427032493. The reversal of 427032480 is 84230724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244410 + ... + 246150.

It is an arithmetic number, because the mean of its divisors is an integer number (8121204).

Almost surely, 2427032480 is an apocalyptic number.

427032480 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 427032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779635584).

427032480 is an abundant number, since it is smaller than the sum of its proper divisors (1132238688).

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

427032480 is a wasteful number, since it uses less digits than its factorization.

427032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 427032480 is about 20664.7642135109. The cubic root of 427032480 is about 753.0439138495.

The spelling of 427032480 in words is "four hundred twenty-seven million, thirty-two thousand, four hundred eighty".