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425479680 = 2932559313
BaseRepresentation
bin11001010111000…
…100111000000000
31002122121121101200
4121113010320000
51332410322210
6110115301200
713354342353
oct3127047000
91078547350
10425479680
111a91991aa
12ba5aa800
136a1c2c32
144071829a
15275480c0
hex195c4e00

425479680 has 240 divisors, whose sum is σ = 1503318960. Its totient is φ = 111181824.

The previous prime is 425479651. The next prime is 425479699. The reversal of 425479680 is 86974524.

It is a happy number.

425479680 is a `hidden beast` number, since 42 + 547 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359204 + ... + 1359516.

It is an arithmetic number, because the mean of its divisors is an integer number (6263829).

Almost surely, 2425479680 is an apocalyptic number.

425479680 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 425479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751659480).

425479680 is an abundant number, since it is smaller than the sum of its proper divisors (1077839280).

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

425479680 is a wasteful number, since it uses less digits than its factorization.

425479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 425479680 is about 20627.1587961115. The cubic root of 425479680 is about 752.1300514475.

The spelling of 425479680 in words is "four hundred twenty-five million, four hundred seventy-nine thousand, six hundred eighty".