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474411168 = 25347112377
BaseRepresentation
bin11100010001101…
…111000010100000
31020001200120210000
4130101233002200
51432422124133
6115024140000
714520266640
oct3421570240
91201616700
10474411168
1122387a150
12112a67600
1377395b8a
1447014520
152b9b1413
hex1c46f0a0

474411168 has 240 divisors, whose sum is σ = 1740239424. Its totient is φ = 123171840.

The previous prime is 474411149. The next prime is 474411191. The reversal of 474411168 is 861114474.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198396 + ... + 200772.

Almost surely, 2474411168 is an apocalyptic number.

474411168 is a gapful number since it is divisible by the number (48) 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 474411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870119712).

474411168 is an abundant number, since it is smaller than the sum of its proper divisors (1265828256).

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

474411168 is a wasteful number, since it uses less digits than its factorization.

474411168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2400 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 474411168 is about 21780.9817960532. The cubic root of 474411168 is about 779.9228326026.

The spelling of 474411168 in words is "four hundred seventy-four million, four hundred eleven thousand, one hundred sixty-eight".