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674412480 = 263657259
BaseRepresentation
bin101000001100101…
…011011111000000
31202000000201000000
4220030223133000
52340122144410
6150531000000
722466261100
oct5014533700
91660021000
10674412480
11316763095
12169a39000
13a9950951
14657d7200
153e31adc0
hex2832b7c0

674412480 has 588 divisors, whose sum is σ = 2848401720. Its totient is φ = 151538688.

The previous prime is 674412449. The next prime is 674412481. The reversal of 674412480 is 84214476.

It is a tau number, because it is divible by the number of its divisors (588).

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 (674412481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430691 + ... + 11430749.

Almost surely, 2674412480 is an apocalyptic number.

674412480 is a gapful number since it is divisible by the number (60) 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 674412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424200860).

674412480 is an abundant number, since it is smaller than the sum of its proper divisors (2173989240).

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

674412480 is an equidigital number, since it uses as much as digits as its factorization.

674412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 674412480 is about 25969.4528244243. The cubic root of 674412480 is about 876.9507410834.

The spelling of 674412480 in words is "six hundred seventy-four million, four hundred twelve thousand, four hundred eighty".