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404965480 = 23510124137
BaseRepresentation
bin11000001000110…
…100100001101000
31001020000101012111
4120020310201220
51312132343410
6104103452104
713015102243
oct3010644150
91036011174
10404965480
11198657617
12b3757034
1365b8c75a
143bad825a
1525844b8a
hex18234868

404965480 has 16 divisors (see below), whose sum is σ = 911172420. Its totient is φ = 161986176.

The previous prime is 404965453. The next prime is 404965499. The reversal of 404965480 is 84569404.

It can be written as a sum of positive squares in 2 ways, for example, as 392277636 + 12687844 = 19806^2 + 3562^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10124137 = 404965480 / (4 + 0 + 4 + 9 + 6 + 5 + 4 + 8 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5062029 + ... + 5062108.

Almost surely, 2404965480 is an apocalyptic number.

404965480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404965480 is an abundant number, since it is smaller than the sum of its proper divisors (506206940).

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

404965480 is a wasteful number, since it uses less digits than its factorization.

404965480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124148 (or 10124144 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 404965480 is about 20123.7541229265. The cubic root of 404965480 is about 739.8426010498.

The spelling of 404965480 in words is "four hundred four million, nine hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 10124137 20248274 40496548 50620685 80993096 101241370 202482740 404965480