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74445480 = 233752337
BaseRepresentation
bin1000110111111…
…11001010101000
312012002020000000
410123333022220
5123024223410
611215343000
71562530134
oct433771250
9165066000
1074445480
1139027a9a
1220b21a60
13125670a5
149c5c3c4
156807dc0
hex46ff2a8

74445480 has 256 divisors, whose sum is σ = 269222400. Its totient is φ = 18475776.

The previous prime is 74445479. The next prime is 74445487. The reversal of 74445480 is 8454447.

74445480 is a `hidden beast` number, since 74 + 44 + 548 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74445487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2012022 + ... + 2012058.

It is an arithmetic number, because the mean of its divisors is an integer number (1051650).

Almost surely, 274445480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74445480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

74445480 is an abundant number, since it is smaller than the sum of its proper divisors (194776920).

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

74445480 is a wasteful number, since it uses less digits than its factorization.

74445480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 74445480 is about 8628.1794139900. The cubic root of 74445480 is about 420.6744266451.

The spelling of 74445480 in words is "seventy-four million, four hundred forty-five thousand, four hundred eighty".